2007372160 has 64 divisors (see below), whose sum is σ = 4836856320. Its totient is φ = 796594176.

The previous prime is 2007372119. The next prime is 2007372179. The reversal of 2007372160 is 612737002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68932 + ... + 93628.

It is an arithmetic number, because the mean of its divisors is an integer number (75575880).

Almost surely, 2^2007372160 is an apocalyptic number.

2007372160 is a gapful number since it is divisible by the number (20) 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 2007372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418428160).

2007372160 is an abundant number, since it is smaller than the sum of its proper divisors (2829484160).

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

2007372160 is a wasteful number, since it uses less digits than its factorization.

2007372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24843 (or 24831 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 2007372160 is about 44803.7069894892. The cubic root of 2007372160 is about 1261.4672082882.

The spelling of 2007372160 in words is "two billion, seven million, three hundred seventy-two thousand, one hundred sixty".