2657977779072 has 256 divisors, whose sum is σ = 9185109073920. Its totient is φ = 660366981120.

The previous prime is 2657977779019. The next prime is 2657977779073. The reversal of 2657977779072 is 2709777797562.

It is a junction number, because it is equal to n+sod(n) for n = 2657977778985 and 2657977779003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657977779073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274148 + ... + 2634275.

It is an arithmetic number, because the mean of its divisors is an integer number (35879332320).

Almost surely, 2^{2657977779072} is an apocalyptic number.

2657977779072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2657977779072 is an abundant number, since it is smaller than the sum of its proper divisors (6527131294848).

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

2657977779072 is a wasteful number, since it uses less digits than its factorization.

2657977779072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908481 (or 3908469 counting only the distinct ones).

The product of its (nonzero) digits is 1143548280, while the sum is 75.

The spelling of 2657977779072 in words is "two trillion, six hundred fifty-seven billion, nine hundred seventy-seven million, seven hundred seventy-nine thousand, seventy-two".