2506627890 has 64 divisors (see below), whose sum is σ = 7198531200. Its totient is φ = 617015232.

The previous prime is 2506627889. The next prime is 2506627901. The reversal of 2506627890 is 987266052.

2506627890 is a `hidden beast` number, since 2 + 506 + 62 + 7 + 89 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 353560 + ... + 360579.

It is an arithmetic number, because the mean of its divisors is an integer number (112477050).

Almost surely, 2^2506627890 is an apocalyptic number.

2506627890 is an abundant number, since it is smaller than the sum of its proper divisors (4691903310).

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

2506627890 is a wasteful number, since it uses less digits than its factorization.

2506627890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714168 (or 714162 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2506627890 is about 50066.2350292091. The cubic root of 2506627890 is about 1358.4071406903.

The spelling of 2506627890 in words is "two billion, five hundred six million, six hundred twenty-seven thousand, eight hundred ninety".