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2489978784 = 253471793083
BaseRepresentation
bin1001010001101010…
…0000111110100000
320102112100000202110
42110122200332200
520044413310114
61051024515320
7115463320236
oct22432407640
96375300673
102489978784
111068589a07
12595a7bb40
13308b31037
141989a2956
15e88eb759
hex946a0fa0

2489978784 has 96 divisors (see below), whose sum is σ = 6714731520. Its totient is φ = 807533312.

The previous prime is 2489978779. The next prime is 2489978833. The reversal of 2489978784 is 4878799842.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806107 + ... + 809189.

It is an arithmetic number, because the mean of its divisors is an integer number (69945120).

Almost surely, 22489978784 is an apocalyptic number.

2489978784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2489978784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357365760).

2489978784 is an abundant number, since it is smaller than the sum of its proper divisors (4224752736).

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

2489978784 is a wasteful number, since it uses less digits than its factorization.

2489978784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3314 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 66.

The square root of 2489978784 is about 49899.6872134485. The cubic root of 2489978784 is about 1355.3929288057.

The spelling of 2489978784 in words is "two billion, four hundred eighty-nine million, nine hundred seventy-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 179 188 282 358 376 537 564 716 752 1074 1128 1432 1504 2148 2256 2864 3083 4296 4512 5728 6166 8413 8592 9249 12332 16826 17184 18498 24664 25239 33652 36996 49328 50478 67304 73992 98656 100956 134608 144901 147984 201912 269216 289802 295968 403824 434703 551857 579604 807648 869406 1103714 1159208 1655571 1738812 2207428 2318416 3311142 3477624 4414856 4636832 6622284 6955248 8829712 13244568 13910496 17659424 25937279 26489136 51874558 52978272 77811837 103749116 155623674 207498232 311247348 414996464 622494696 829992928 1244989392 2489978784