2513194464 has 96 divisors (see below), whose sum is σ = 7208732160. Its totient is φ = 760320000.

The previous prime is 2513194451. The next prime is 2513194483. The reversal of 2513194464 is 4644913152.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2513194464² = 12632292827760494592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 791472 + ... + 794640.

It is an arithmetic number, because the mean of its divisors is an integer number (75090960).

Almost surely, 2^2513194464 is an apocalyptic number.

2513194464 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 2513194464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604366080).

2513194464 is an abundant number, since it is smaller than the sum of its proper divisors (4695537696).

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

2513194464 is a wasteful number, since it uses less digits than its factorization.

2513194464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3936 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 2513194464 is about 50131.7710040250. The cubic root of 2513194464 is about 1359.5923057079.

The spelling of 2513194464 in words is "two billion, five hundred thirteen million, one hundred ninety-four thousand, four hundred sixty-four".