2652116026240 has 64 divisors (see below), whose sum is σ = 6511572092160. Its totient is φ = 1032174876672.

The previous prime is 2652116026223. The next prime is 2652116026267. The reversal of 2652116026240 is 426206112562.

It is a happy number.

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 (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2652116026240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55975392 + ... + 56022751.

It is an arithmetic number, because the mean of its divisors is an integer number (101743313940).

Almost surely, 2^{2652116026240} is an apocalyptic number.

2652116026240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2652116026240 is an abundant number, since it is smaller than the sum of its proper divisors (3859456065920).

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

2652116026240 is a wasteful number, since it uses less digits than its factorization.

2652116026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111998199 (or 111998187 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 2652116026240 in words is "two trillion, six hundred fifty-two billion, one hundred sixteen million, twenty-six thousand, two hundred forty".