2100979440 has 240 divisors, whose sum is σ = 8124480000. Its totient is φ = 476610048.

The previous prime is 2100979409. The next prime is 2100979513. The reversal of 2100979440 is 449790012.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2100979440² = 8828229214605427200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100979395 and 2100979404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699061 + ... + 702059.

It is an arithmetic number, because the mean of its divisors is an integer number (33852000).

Almost surely, 2^2100979440 is an apocalyptic number.

2100979440 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 2100979440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240000).

2100979440 is an abundant number, since it is smaller than the sum of its proper divisors (6023500560).

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

2100979440 is a wasteful number, since it uses less digits than its factorization.

2100979440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2100979440 is about 45836.4422703159. The cubic root of 2100979440 is about 1280.7782214182.

The spelling of 2100979440 in words is "two billion, one hundred million, nine hundred seventy-nine thousand, four hundred forty".