2540956612224 has 64 divisors (see below), whose sum is σ = 6818997709440. Its totient is φ = 838253715456.

The previous prime is 2540956612223. The next prime is 2540956612231. The reversal of 2540956612224 is 4222166590452.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2540956612223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34071384 + ... + 34145879.

It is an arithmetic number, because the mean of its divisors is an integer number (106546839210).

Almost surely, 2^{2540956612224} is an apocalyptic number.

2540956612224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2540956612224 is an abundant number, since it is smaller than the sum of its proper divisors (4278041097216).

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

2540956612224 is an equidigital number, since it uses as much as digits as its factorization.

2540956612224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68217377 (or 68217365 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 2540956612224 in words is "two trillion, five hundred forty billion, nine hundred fifty-six million, six hundred twelve thousand, two hundred twenty-four".