2506405416 has 16 divisors (see below), whose sum is σ = 6266013600. Its totient is φ = 835468464.

The previous prime is 2506405411. The next prime is 2506405423. The reversal of 2506405416 is 6145046052.

It is not an unprimeable number, because it can be changed into a prime (2506405411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52216756 + ... + 52216803.

It is an arithmetic number, because the mean of its divisors is an integer number (391625850).

Almost surely, 2^2506405416 is an apocalyptic number.

It is an amenable number.

2506405416 is an abundant number, since it is smaller than the sum of its proper divisors (3759608184).

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

2506405416 is a wasteful number, since it uses less digits than its factorization.

2506405416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104433568 (or 104433564 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2506405416 is about 50064.0131831239. The cubic root of 2506405416 is about 1358.3669513436.

The spelling of 2506405416 in words is "two billion, five hundred six million, four hundred five thousand, four hundred sixteen".