2140542756 has 81 divisors (see below), whose sum is σ = 5955922609. Its totient is φ = 647724000.

The previous prime is 2140542739. The next prime is 2140542773. The reversal of 2140542756 is 6572450412.

It is a happy number.

The square root of 2140542756 is 46266.

It is a perfect power (a square), and thus also a powerful number.

2140542756 is a `hidden beast` number, since 2 + 1 + 40 + 542 + 75 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2140542739) and next prime (2140542773).

It can be written as a sum of positive squares in only one way, i.e., 1846077156 + 294465600 = 42966^2 + 17160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2140542756.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3053206 + ... + 3053906.

Almost surely, 2^2140542756 is an apocalyptic number.

2140542756 is the 46266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140542756

2140542756 is an abundant number, since it is smaller than the sum of its proper divisors (3815379853).

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

2140542756 is a wasteful number, since it uses less digits than its factorization.

2140542756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The cubic root of 2140542756 is about 1288.7676783898.

Multiplying 2140542756 by its sum of digits (36), we get a square (77059539216 = 277596²).

2140542756 divided by its sum of digits (36) gives a square (59459521 = 7711²).

The spelling of 2140542756 in words is "two billion, one hundred forty million, five hundred forty-two thousand, seven hundred fifty-six".