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2474868768 = 253831312371
BaseRepresentation
bin1001001110000011…
…1000000000100000
320101110220100201020
42103200320000200
520032031300033
61045325005440
7115221015561
oct22340700040
96343810636
102474868768
11105aaa9599
125909b3880
133059705b8
1419698c168
15e74146b3
hex93838020

2474868768 has 96 divisors (see below), whose sum is σ = 6627785472. Its totient is φ = 808454400.

The previous prime is 2474868757. The next prime is 2474868779. The reversal of 2474868768 is 8678684742.

It is an interprime number because it is at equal distance from previous prime (2474868757) and next prime (2474868779).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×24748687682 = 12249950837643675648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042623 + ... + 1044993.

It is an arithmetic number, because the mean of its divisors is an integer number (69039432).

Almost surely, 22474868768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2474868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313892736).

2474868768 is an abundant number, since it is smaller than the sum of its proper divisors (4152916704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2474868768 is a wasteful number, since it uses less digits than its factorization.

2474868768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2590 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 60.

The square root of 2474868768 is about 49748.0529066214. The cubic root of 2474868768 is about 1352.6457065277.

The spelling of 2474868768 in words is "two billion, four hundred seventy-four million, eight hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 131 166 249 262 332 393 498 524 664 786 996 1048 1328 1572 1992 2096 2371 2656 3144 3984 4192 4742 6288 7113 7968 9484 10873 12576 14226 18968 21746 28452 32619 37936 43492 56904 65238 75872 86984 113808 130476 173968 196793 227616 260952 310601 347936 393586 521904 590379 621202 787172 931803 1043808 1180758 1242404 1574344 1863606 2361516 2484808 3148688 3727212 4723032 4969616 6297376 7454424 9446064 9939232 14908848 18892128 25779883 29817696 51559766 77339649 103119532 154679298 206239064 309358596 412478128 618717192 824956256 1237434384 2474868768