2513781504 has 432 divisors, whose sum is σ = 8437141440. Its totient is φ = 713687040.

The previous prime is 2513781493. The next prime is 2513781521. The reversal of 2513781504 is 4051873152.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28244692 + ... + 28244780.

It is an arithmetic number, because the mean of its divisors is an integer number (19530420).

Almost surely, 2^2513781504 is an apocalyptic number.

2513781504 is a gapful number since it is divisible by the number (24) 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 2513781504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218570720).

2513781504 is an abundant number, since it is smaller than the sum of its proper divisors (5923359936).

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

2513781504 is a wasteful number, since it uses less digits than its factorization.

2513781504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2513781504 is about 50137.6256318546. The cubic root of 2513781504 is about 1359.6981567729.

The spelling of 2513781504 in words is "two billion, five hundred thirteen million, seven hundred eighty-one thousand, five hundred four".