2007936100 has 27 divisors (see below), whose sum is σ = 4358193931. Its totient is φ = 802995200.

The previous prime is 2007936067. The next prime is 2007936101. The reversal of 2007936100 is 16397002.

The square root of 2007936100 is 44810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 51466276 + 1956469824 = 7174^2 + 44232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2007936101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 445860 + ... + 450340.

Almost surely, 2^2007936100 is an apocalyptic number.

2007936100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2007936100 is the 44810-th square number.

It is an amenable number.

2007936100 is an abundant number, since it is smaller than the sum of its proper divisors (2350257831).

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

2007936100 is an frugal number, since it uses more digits than its factorization.

2007936100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The cubic root of 2007936100 is about 1261.5853270944.

The spelling of 2007936100 in words is "two billion, seven million, nine hundred thirty-six thousand, one hundred".