2007415872 has 560 divisors, whose sum is σ = 7647602688. Its totient is φ = 505543680.

The previous prime is 2007415847. The next prime is 2007415901. The reversal of 2007415872 is 2785147002.

2007415872 is a `hidden beast` number, since 2 + 0 + 0 + 74 + 1 + 587 + 2 = 666.

2007415872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18760843 + ... + 18760949.

Almost surely, 2^2007415872 is an apocalyptic number.

2007415872 is a gapful number since it is divisible by the number (22) 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 2007415872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823801344).

2007415872 is an abundant number, since it is smaller than the sum of its proper divisors (5640186816).

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

2007415872 is a wasteful number, since it uses less digits than its factorization.

2007415872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

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

The square root of 2007415872 is about 44804.1948036119. The cubic root of 2007415872 is about 1261.4763646794.

The spelling of 2007415872 in words is "two billion, seven million, four hundred fifteen thousand, eight hundred seventy-two".