2625414624 has 288 divisors, whose sum is σ = 8922303936. Its totient is φ = 716636160.

The previous prime is 2625414613. The next prime is 2625414643. The reversal of 2625414624 is 4264145262.

2625414624 is a `hidden beast` number, since 2 + 6 + 25 + 4 + 1 + 4 + 624 = 666.

2625414624 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2625414624² = 13785603895826122752, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4549824 + ... + 4550400.

It is an arithmetic number, because the mean of its divisors is an integer number (30980222).

Almost surely, 2^2625414624 is an apocalyptic number.

2625414624 is a gapful number since it is divisible by the number (24) 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 2625414624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461151968).

2625414624 is an abundant number, since it is smaller than the sum of its proper divisors (6296889312).

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

2625414624 is a wasteful number, since it uses less digits than its factorization.

2625414624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 687 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2625414624 is about 51238.7999859481. The cubic root of 2625414624 is about 1379.5347139655.

Adding to 2625414624 its reverse (4264145262), we get a palindrome (6889559886).

The spelling of 2625414624 in words is "two billion, six hundred twenty-five million, four hundred fourteen thousand, six hundred twenty-four".