2505106140 has 48 divisors (see below), whose sum is σ = 7093124640. Its totient is φ = 660520960.

The previous prime is 2505106117. The next prime is 2505106147. The reversal of 2505106140 is 416015052.

It is a self number, because there is not a number n which added to its sum of digits gives 2505106140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505106147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229221 + ... + 239900.

It is an arithmetic number, because the mean of its divisors is an integer number (147773430).

Almost surely, 2^2505106140 is an apocalyptic number.

2505106140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505106140 is an abundant number, since it is smaller than the sum of its proper divisors (4588018500).

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

2505106140 is a wasteful number, since it uses less digits than its factorization.

2505106140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469222 (or 469220 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2505106140 is about 50051.0353539265. The cubic root of 2505106140 is about 1358.1321930162.

The spelling of 2505106140 in words is "two billion, five hundred five million, one hundred six thousand, one hundred forty".