2107297920 has 384 divisors, whose sum is σ = 8419602240. Its totient is φ = 444358656.

The previous prime is 2107297879. The next prime is 2107297921. The reversal of 2107297920 is 297927012.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107297921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222179 + ... + 1223901.

Almost surely, 2^2107297920 is an apocalyptic number.

2107297920 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 2107297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209801120).

2107297920 is an abundant number, since it is smaller than the sum of its proper divisors (6312304320).

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

2107297920 is a wasteful number, since it uses less digits than its factorization.

2107297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 2107297920 is about 45905.3147249858. The cubic root of 2107297920 is about 1282.0608728051.

The spelling of 2107297920 in words is "two billion, one hundred seven million, two hundred ninety-seven thousand, nine hundred twenty".