2007715248 has 600 divisors, whose sum is σ = 7662842880. Its totient is φ = 496108800.

The previous prime is 2007715141. The next prime is 2007715253. The reversal of 2007715248 is 8425177002.

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 119 ways as a sum of consecutive naturals, for example, 34029043 + ... + 34029101.

Almost surely, 2^2007715248 is an apocalyptic number.

2007715248 is a gapful number since it is divisible by the number (28) 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 2007715248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831421440).

2007715248 is an abundant number, since it is smaller than the sum of its proper divisors (5655127632).

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

2007715248 is a wasteful number, since it uses less digits than its factorization.

2007715248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2007715248 is about 44807.5356162331. The cubic root of 2007715248 is about 1261.5390716619.

The spelling of 2007715248 in words is "two billion, seven million, seven hundred fifteen thousand, two hundred forty-eight".