2120874840 has 576 divisors, whose sum is σ = 8567264160. Its totient is φ = 470292480.

The previous prime is 2120874823. The next prime is 2120874841. The reversal of 2120874840 is 484780212.

It is a super-2 number, since 2×2120874840² = 8996220173890051200, 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 = 2120874795 and 2120874804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120874841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29053044 + ... + 29053116.

Almost surely, 2^2120874840 is an apocalyptic number.

2120874840 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 2120874840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283632080).

2120874840 is an abundant number, since it is smaller than the sum of its proper divisors (6446389320).

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

2120874840 is a wasteful number, since it uses less digits than its factorization.

2120874840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2120874840 is about 46052.9569083246. The cubic root of 2120874840 is about 1284.8083389398.

The spelling of 2120874840 in words is "two billion, one hundred twenty million, eight hundred seventy-four thousand, eight hundred forty".