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2468246440 = 2351143130457
BaseRepresentation
bin1001001100011110…
…0111001110101000
320101000102220120211
42103013213032220
520023332341230
61044531030504
7115110514522
oct22307471650
96330386524
102468246440
1110572960a0
1258a73b434
1330449226a
14195b46a12
15e6a5742a
hex931e73a8

2468246440 has 64 divisors (see below), whose sum is σ = 6199364160. Its totient is φ = 876664320.

The previous prime is 2468246437. The next prime is 2468246461. The reversal of 2468246440 is 446428642.

It is a happy number.

2468246440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2468246393 and 2468246402.

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, 46309 + ... + 84148.

It is an arithmetic number, because the mean of its divisors is an integer number (96865065).

Almost surely, 22468246440 is an apocalyptic number.

2468246440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2468246440 is an abundant number, since it is smaller than the sum of its proper divisors (3731117720).

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

2468246440 is a wasteful number, since it uses less digits than its factorization.

2468246440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130522 (or 130518 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The square root of 2468246440 is about 49681.4496567884. The cubic root of 2468246440 is about 1351.4381455075.

The spelling of 2468246440 in words is "two billion, four hundred sixty-eight million, two hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 9460 18920 130457 260914 521828 652285 1043656 1304570 1435027 2609140 2870054 5218280 5609651 5740108 7175135 11219302 11480216 14350270 22438604 28048255 28700540 44877208 56096510 57401080 61706161 112193020 123412322 224386040 246824644 308530805 493649288 617061610 1234123220 2468246440