2513379960 has 384 divisors, whose sum is σ = 10647262080. Its totient is φ = 498991104.

The previous prime is 2513379949. The next prime is 2513379989. The reversal of 2513379960 is 699733152.

2513379960 is a `hidden beast` number, since 2 + 513 + 3 + 79 + 9 + 60 = 666.

2513379960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554664 + ... + 559176.

It is an arithmetic number, because the mean of its divisors is an integer number (27727245).

Almost surely, 2^2513379960 is an apocalyptic number.

2513379960 is a gapful number since it is divisible by the number (20) 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 2513379960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323631040).

2513379960 is an abundant number, since it is smaller than the sum of its proper divisors (8133882120).

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

2513379960 is a wasteful number, since it uses less digits than its factorization.

2513379960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 2513379960 is about 50133.6210541389. The cubic root of 2513379960 is about 1359.6257548677.

The spelling of 2513379960 in words is "two billion, five hundred thirteen million, three hundred seventy-nine thousand, nine hundred sixty".