2506694580 has 96 divisors (see below), whose sum is σ = 8398521600. Its totient is φ = 617030784.

The previous prime is 2506694579. The next prime is 2506694587. The reversal of 2506694580 is 854966052.

2506694580 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 69 + 4 + 580 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506694587) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 171520 + ... + 185559.

It is an arithmetic number, because the mean of its divisors is an integer number (87484600).

Almost surely, 2^2506694580 is an apocalyptic number.

2506694580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506694580 is an abundant number, since it is smaller than the sum of its proper divisors (5891827020).

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

2506694580 is a wasteful number, since it uses less digits than its factorization.

2506694580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357110 (or 357102 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2506694580 is about 50066.9010425051. The cubic root of 2506694580 is about 1358.4191876012.

The spelling of 2506694580 in words is "two billion, five hundred six million, six hundred ninety-four thousand, five hundred eighty".