2725626217440 has 192 divisors, whose sum is σ = 9958706763264. Its totient is φ = 613701715968.

The previous prime is 2725626217421. The next prime is 2725626217459. The reversal of 2725626217440 is 447126265272.

It is an interprime number because it is at equal distance from previous prime (2725626217421) and next prime (2725626217459).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2725626217440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5828599 + ... + 6278838.

It is an arithmetic number, because the mean of its divisors is an integer number (51868264392).

Almost surely, 2^{2725626217440} is an apocalyptic number.

2725626217440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2725626217440 is an abundant number, since it is smaller than the sum of its proper divisors (7233080545824).

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

2725626217440 is a wasteful number, since it uses less digits than its factorization.

2725626217440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12107529 (or 12107521 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 2725626217440 in words is "two trillion, seven hundred twenty-five billion, six hundred twenty-six million, two hundred seventeen thousand, four hundred forty".