2513607440 has 80 divisors (see below), whose sum is σ = 6108680448. Its totient is φ = 960081408.

The previous prime is 2513607409. The next prime is 2513607449. The reversal of 2513607440 is 447063152.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2513607397 and 2513607406.

It is not an unprimeable number, because it can be changed into a prime (2513607449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2054669 + ... + 2055891.

Almost surely, 2^2513607440 is an apocalyptic number.

2513607440 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 2513607440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054340224).

2513607440 is an abundant number, since it is smaller than the sum of its proper divisors (3595073008).

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

2513607440 is a wasteful number, since it uses less digits than its factorization.

2513607440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2513607440 is about 50135.8897397862. The cubic root of 2513607440 is about 1359.6667724537. Note that the first 3 decimals are identical.

The spelling of 2513607440 in words is "two billion, five hundred thirteen million, six hundred seven thousand, four hundred forty".