2142767040 has 112 divisors (see below), whose sum is σ = 7203533472. Its totient is φ = 537788416.

The previous prime is 2142766973. The next prime is 2142767071. The reversal of 2142767040 is 407672412.

It is a junction number, because it is equal to n+sod(n) for n = 2142766992 and 2142767010.

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, 49329 + ... + 81968.

Almost surely, 2^2142767040 is an apocalyptic number.

2142767040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142767040 is an abundant number, since it is smaller than the sum of its proper divisors (5060766432).

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

2142767040 is a wasteful number, since it uses less digits than its factorization.

2142767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131334 (or 131324 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2142767040 is about 46290.0317563080. The cubic root of 2142767040 is about 1289.2139192605.

The spelling of 2142767040 in words is "two billion, one hundred forty-two million, seven hundred sixty-seven thousand, forty".