2657999720064 has 128 divisors (see below), whose sum is σ = 7808910842880. Its totient is φ = 795742064640.

The previous prime is 2657999720063. The next prime is 2657999720119. The reversal of 2657999720064 is 4600279997562.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2657999719977 and 2657999720004.

It is not an unprimeable number, because it can be changed into a prime (2657999720063) by changing a digit.

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, 7010592 + ... + 7379999.

It is an arithmetic number, because the mean of its divisors is an integer number (61007115960).

Almost surely, 2^{2657999720064} is an apocalyptic number.

2657999720064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2657999720064 is an abundant number, since it is smaller than the sum of its proper divisors (5150911122816).

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

2657999720064 is a wasteful number, since it uses less digits than its factorization.

2657999720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14390658 (or 14390646 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 66.

The spelling of 2657999720064 in words is "two trillion, six hundred fifty-seven billion, nine hundred ninety-nine million, seven hundred twenty thousand, sixty-four".