2643629625 has 384 divisors, whose sum is σ = 6541516800. Its totient is φ = 1016064000.

The previous prime is 2643629609. The next prime is 2643629641. The reversal of 2643629625 is 5269263462.

2643629625 is a `hidden beast` number, since 264 + 362 + 9 + 6 + 25 = 666.

2643629625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2643629609) and next prime (2643629641).

It is not a de Polignac number, because 2643629625 - 2⁴ = 2643629609 is a prime.

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, 85278360 + ... + 85278390.

It is an arithmetic number, because the mean of its divisors is an integer number (17035200).

Almost surely, 2^2643629625 is an apocalyptic number.

2643629625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2643629625 is an abundant number, since it is smaller than the sum of its proper divisors (3897887175).

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

2643629625 is a wasteful number, since it uses less digits than its factorization.

2643629625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 2643629625 is about 51416.2389231262. The cubic root of 2643629625 is about 1382.7177459731.

The spelling of 2643629625 in words is "two billion, six hundred forty-three million, six hundred twenty-nine thousand, six hundred twenty-five".