2625451920 has 960 divisors, whose sum is σ = 12064227840. Its totient is φ = 510603264.

The previous prime is 2625451897. The next prime is 2625451943. The reversal of 2625451920 is 291545262.

2625451920 is a `hidden beast` number, since 2 + 625 + 4 + 5 + 1 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2625451897) and next prime (2625451943).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70958142 + ... + 70958178.

It is an arithmetic number, because the mean of its divisors is an integer number (12566904).

Almost surely, 2^2625451920 is an apocalyptic number.

2625451920 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 2625451920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032113920).

2625451920 is an abundant number, since it is smaller than the sum of its proper divisors (9438775920).

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

2625451920 is a wasteful number, since it uses less digits than its factorization.

2625451920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2625451920 is about 51239.1639276052. The cubic root of 2625451920 is about 1379.5412463791.

The spelling of 2625451920 in words is "two billion, six hundred twenty-five million, four hundred fifty-one thousand, nine hundred twenty".