2506154456 has 64 divisors (see below), whose sum is σ = 5148057600. Its totient is φ = 1136827008.

The previous prime is 2506154447. The next prime is 2506154513. The reversal of 2506154456 is 6544516052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1958825 + ... + 1960103.

It is an arithmetic number, because the mean of its divisors is an integer number (80438400).

Almost surely, 2^2506154456 is an apocalyptic number.

2506154456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506154456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574028800).

2506154456 is an abundant number, since it is smaller than the sum of its proper divisors (2641903144).

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

2506154456 is a wasteful number, since it uses less digits than its factorization.

2506154456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The square root of 2506154456 is about 50061.5067292226. The cubic root of 2506154456 is about 1358.3216132210.

The spelling of 2506154456 in words is "two billion, five hundred six million, one hundred fifty-four thousand, four hundred fifty-six".