2609024625024 has 128 divisors (see below), whose sum is σ = 6941416608000. Its totient is φ = 868271499264.

The previous prime is 2609024625019. The next prime is 2609024625043. The reversal of 2609024625024 is 4205264209062.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166304034 + ... + 1166306270.

It is an arithmetic number, because the mean of its divisors is an integer number (54229817250).

Almost surely, 2^{2609024625024} is an apocalyptic number.

2609024625024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2609024625024 is an abundant number, since it is smaller than the sum of its proper divisors (4332391982976).

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

2609024625024 is a wasteful number, since it uses less digits than its factorization.

2609024625024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 2609024625024 in words is "two trillion, six hundred nine billion, twenty-four million, six hundred twenty-five thousand, twenty-four".