2625109482240 has 3456 divisors, whose sum is σ = 12342332620800. Its totient is φ = 520277852160.

The previous prime is 2625109482239. The next prime is 2625109482283. The reversal of 2625109482240 is 422849015262.

2625109482240 is a `hidden beast` number, since 2 + 6 + 2 + 510 + 94 + 8 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29495612116 + ... + 29495612204.

It is an arithmetic number, because the mean of its divisors is an integer number (3571276800).

Almost surely, 2^{2625109482240} is an apocalyptic number.

2625109482240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2625109482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171166310400).

2625109482240 is an abundant number, since it is smaller than the sum of its proper divisors (9717223138560).

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

2625109482240 is a wasteful number, since it uses less digits than its factorization.

2625109482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2625109482240 in words is "two trillion, six hundred twenty-five billion, one hundred nine million, four hundred eighty-two thousand, two hundred forty".