2507913342 has 48 divisors (see below), whose sum is σ = 5943216240. Its totient is φ = 757996800.

The previous prime is 2507913337. The next prime is 2507913407. The reversal of 2507913342 is 2433197052.

2507913342 is a `hidden beast` number, since 250 + 79 + 1 + 334 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2507913297 and 2507913306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60742 + ... + 93302.

It is an arithmetic number, because the mean of its divisors is an integer number (123817005).

Almost surely, 2^2507913342 is an apocalyptic number.

2507913342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2507913342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971608120).

2507913342 is an abundant number, since it is smaller than the sum of its proper divisors (3435302898).

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

2507913342 is a wasteful number, since it uses less digits than its factorization.

2507913342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32969 (or 32966 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2507913342 is about 50079.0708979310. The cubic root of 2507913342 is about 1358.6393076821.

It can be divided in two parts, 2507 and 913342, that added together give a square (915849 = 957²).

The spelling of 2507913342 in words is "two billion, five hundred seven million, nine hundred thirteen thousand, three hundred forty-two".