2477135130 has 64 divisors (see below), whose sum is σ = 6121640448. Its totient is φ = 641123840.

The previous prime is 2477135113. The next prime is 2477135179. The reversal of 2477135130 is 315317742.

It is a super-2 number, since 2×2477135130² = 12272396904560233800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2477135091 and 2477135100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237199 + ... + 247421.

It is an arithmetic number, because the mean of its divisors is an integer number (95650632).

Almost surely, 2^2477135130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2477135130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060820224).

2477135130 is an abundant number, since it is smaller than the sum of its proper divisors (3644505318).

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

2477135130 is a wasteful number, since it uses less digits than its factorization.

2477135130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 2477135130 is about 49770.8260932044. The cubic root of 2477135130 is about 1353.0584758261.

The spelling of 2477135130 in words is "two billion, four hundred seventy-seven million, one hundred thirty-five thousand, one hundred thirty".