2107972224 has 192 divisors, whose sum is σ = 6362254080. Its totient is φ = 669081600.

The previous prime is 2107972211. The next prime is 2107972261. The reversal of 2107972224 is 4222797012.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2392264 + ... + 2393144.

It is an arithmetic number, because the mean of its divisors is an integer number (33136740).

Almost surely, 2^2107972224 is an apocalyptic number.

2107972224 is a gapful number since it is divisible by the number (24) 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 2107972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181127040).

2107972224 is an abundant number, since it is smaller than the sum of its proper divisors (4254281856).

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

2107972224 is a wasteful number, since it uses less digits than its factorization.

2107972224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2107972224 is about 45912.6586466086. The cubic root of 2107972224 is about 1282.1976050273.

The spelling of 2107972224 in words is "two billion, one hundred seven million, nine hundred seventy-two thousand, two hundred twenty-four".