2007538340 has 24 divisors (see below), whose sum is σ = 4361205240. Its totient is φ = 775324928.

The previous prime is 2007538339. The next prime is 2007538361. The reversal of 2007538340 is 438357002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 272316004 + 1735222336 = 16502^2 + 41656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2007538297 and 2007538306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1730057 + ... + 1731216.

It is an arithmetic number, because the mean of its divisors is an integer number (181716885).

Almost surely, 2^2007538340 is an apocalyptic number.

2007538340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007538340 is an abundant number, since it is smaller than the sum of its proper divisors (2353666900).

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

2007538340 is a wasteful number, since it uses less digits than its factorization.

2007538340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461311 (or 3461309 counting only the distinct ones).

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

The square root of 2007538340 is about 44805.5614851549. The cubic root of 2007538340 is about 1261.5020174515.

The spelling of 2007538340 in words is "two billion, seven million, five hundred thirty-eight thousand, three hundred forty".