2142567840 has 96 divisors (see below), whose sum is σ = 7713256320. Its totient is φ = 489729024.

The previous prime is 2142567811. The next prime is 2142567871. The reversal of 2142567840 is 487652412.

It is a tau number, because it is divible by the number of its divisors (96).

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, 315475 + ... + 322194.

It is an arithmetic number, because the mean of its divisors is an integer number (80346420).

Almost surely, 2^2142567840 is an apocalyptic number.

2142567840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142567840 is an abundant number, since it is smaller than the sum of its proper divisors (5570688480).

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

2142567840 is a wasteful number, since it uses less digits than its factorization.

2142567840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637694 (or 637686 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2142567840 is about 46287.8800551505. The cubic root of 2142567840 is about 1289.1739679006.

The spelling of 2142567840 in words is "two billion, one hundred forty-two million, five hundred sixty-seven thousand, eight hundred forty".