2678257163520 has 144 divisors (see below), whose sum is σ = 9504093251520. Its totient is φ = 714201901056.

The previous prime is 2678257163507. The next prime is 2678257163531. The reversal of 2678257163520 is 253617528762.

2678257163520 is a `hidden beast` number, since 2 + 6 + 7 + 8 + 2 + 57 + 1 + 63 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2678257163520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38713374 + ... + 38782493.

It is an arithmetic number, because the mean of its divisors is an integer number (66000647580).

Almost surely, 2^{2678257163520} is an apocalyptic number.

2678257163520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2678257163520 is an abundant number, since it is smaller than the sum of its proper divisors (6825836088000).

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

2678257163520 is an equidigital number, since it uses as much as digits as its factorization.

2678257163520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77495897 (or 77495877 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 2678257163520 in words is "two trillion, six hundred seventy-eight billion, two hundred fifty-seven million, one hundred sixty-three thousand, five hundred twenty".