2140857600 has 432 divisors, whose sum is σ = 8558702208. Its totient is φ = 460062720.

The previous prime is 2140857581. The next prime is 2140857619. The reversal of 2140857600 is 67580412.

2140857600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2140857581) and next prime (2140857619).

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, 2284332 + ... + 2285268.

Almost surely, 2^2140857600 is an apocalyptic number.

2140857600 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 2140857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279351104).

2140857600 is an abundant number, since it is smaller than the sum of its proper divisors (6417844608).

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

2140857600 is a wasteful number, since it uses less digits than its factorization.

2140857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2140857600 is about 46269.4024167160. The cubic root of 2140857600 is about 1288.8308618787.

The spelling of 2140857600 in words is "two billion, one hundred forty million, eight hundred fifty-seven thousand, six hundred".