2007528740 has 48 divisors (see below), whose sum is σ = 4820788224. Its totient is φ = 687907200.

The previous prime is 2007528713. The next prime is 2007528769. The reversal of 2007528740 is 478257002.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2007528740.

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, 364205 + ... + 369675.

It is an arithmetic number, because the mean of its divisors is an integer number (100433088).

Almost surely, 2^2007528740 is an apocalyptic number.

2007528740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007528740 is an abundant number, since it is smaller than the sum of its proper divisors (2813259484).

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

2007528740 is a wasteful number, since it uses less digits than its factorization.

2007528740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8108 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 2007528740 is about 44805.4543554688. The cubic root of 2007528740 is about 1261.5000066242.

The spelling of 2007528740 in words is "two billion, seven million, five hundred twenty-eight thousand, seven hundred forty".