2627465120 has 192 divisors, whose sum is σ = 7352674560. Its totient is φ = 868589568.

The previous prime is 2627465117. The next prime is 2627465149. The reversal of 2627465120 is 215647262.

It is a super-2 number, since 2×2627465120² = 13807145913633228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 4285934 + ... + 4286546.

It is an arithmetic number, because the mean of its divisors is an integer number (38295180).

Almost surely, 2^2627465120 is an apocalyptic number.

2627465120 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 2627465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676337280).

2627465120 is an abundant number, since it is smaller than the sum of its proper divisors (4725209440).

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

2627465120 is a wasteful number, since it uses less digits than its factorization.

2627465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2627465120 is about 51258.8052923593. The cubic root of 2627465120 is about 1379.8937676399.

The spelling of 2627465120 in words is "two billion, six hundred twenty-seven million, four hundred sixty-five thousand, one hundred twenty".