2007191920 has 80 divisors (see below), whose sum is σ = 4931604000. Its totient is φ = 757638144.

The previous prime is 2007191897. The next prime is 2007191951. The reversal of 2007191920 is 291917002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 406426 + ... + 411334.

It is an arithmetic number, because the mean of its divisors is an integer number (61645050).

Almost surely, 2^2007191920 is an apocalyptic number.

2007191920 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 2007191920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465802000).

2007191920 is an abundant number, since it is smaller than the sum of its proper divisors (2924412080).

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

2007191920 is a wasteful number, since it uses less digits than its factorization.

2007191920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5210 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 2007191920 is about 44801.6955036302. The cubic root of 2007191920 is about 1261.4294518523.

The spelling of 2007191920 in words is "two billion, seven million, one hundred ninety-one thousand, nine hundred twenty".