2040932246544 has 405 divisors, whose sum is σ = 6241255176247. Its totient is φ = 622463391744.

The previous prime is 2040932246539. The next prime is 2040932246621. The reversal of 2040932246544 is 4456422390402.

The square root of 2040932246544 is 1428612.

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

2040932246544 is a `hidden beast` number, since 2 + 0 + 40 + 9 + 3 + 22 + 46 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40088048400 + 2000844198144 = 200220^2 + 1414512^2 .

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 2040932246544.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13697531782 + ... + 13697531930.

Almost surely, 2^{2040932246544} is an apocalyptic number.

2040932246544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2040932246544 is the 1428612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040932246544

2040932246544 is an abundant number, since it is smaller than the sum of its proper divisors (4200322929703).

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

2040932246544 is a wasteful number, since it uses less digits than its factorization.

2040932246544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 2040932246544 in words is "two trillion, forty billion, nine hundred thirty-two million, two hundred forty-six thousand, five hundred forty-four".