2032542720 has 660 divisors, whose sum is σ = 8158809780. Its totient is φ = 483065856.

The previous prime is 2032542709. The next prime is 2032542767. The reversal of 2032542720 is 272452302.

2032542720 is a `hidden beast` number, since 20 + 32 + 542 + 72 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 383533056 + 1649009664 = 19584^2 + 40608^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70087666 + ... + 70087694.

It is an arithmetic number, because the mean of its divisors is an integer number (12361833).

Almost surely, 2^2032542720 is an apocalyptic number.

2032542720 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 2032542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079404890).

2032542720 is an abundant number, since it is smaller than the sum of its proper divisors (6126267060).

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

2032542720 is a wasteful number, since it uses less digits than its factorization.

2032542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2032542720 is about 45083.7301029984. The cubic root of 2032542720 is about 1266.7178606579.

The spelling of 2032542720 in words is "two billion, thirty-two million, five hundred forty-two thousand, seven hundred twenty".