2506514540 has 24 divisors (see below), whose sum is σ = 5265395520. Its totient is φ = 1002279168.

The previous prime is 2506514533. The next prime is 2506514557. The reversal of 2506514540 is 454156052.

It is a junction number, because it is equal to n+sod(n) for n = 2506514497 and 2506514506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48116 + ... + 85604.

It is an arithmetic number, because the mean of its divisors is an integer number (219391480).

Almost surely, 2^2506514540 is an apocalyptic number.

2506514540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506514540 is an abundant number, since it is smaller than the sum of its proper divisors (2758880980).

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

2506514540 is a wasteful number, since it uses less digits than its factorization.

2506514540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40841 (or 40839 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 2506514540 is about 50065.1030159731. The cubic root of 2506514540 is about 1358.3866646062.

The spelling of 2506514540 in words is "two billion, five hundred six million, five hundred fourteen thousand, five hundred forty".