2152400640 has 144 divisors (see below), whose sum is σ = 7403188128. Its totient is φ = 529809408.

The previous prime is 2152400633. The next prime is 2152400669. The reversal of 2152400640 is 460042512.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2152400640.

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, 28362 + ... + 71478.

Almost surely, 2^2152400640 is an apocalyptic number.

2152400640 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 2152400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701594064).

2152400640 is an abundant number, since it is smaller than the sum of its proper divisors (5250787488).

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

2152400640 is a wasteful number, since it uses less digits than its factorization.

2152400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43154 (or 43140 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2152400640 is about 46393.9720222358. The cubic root of 2152400640 is about 1291.1430767122.

The spelling of 2152400640 in words is "two billion, one hundred fifty-two million, four hundred thousand, six hundred forty".