2533252680 has 192 divisors, whose sum is σ = 9439597440. Its totient is φ = 577161216.

The previous prime is 2533252663. The next prime is 2533252697. The reversal of 2533252680 is 862523352.

2533252680 is a `hidden beast` number, since 2 + 53 + 3 + 2 + 526 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2533252663) and next prime (2533252697).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872992 + ... + 875888.

It is an arithmetic number, because the mean of its divisors is an integer number (49164570).

Almost surely, 2^2533252680 is an apocalyptic number.

2533252680 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 2533252680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719798720).

2533252680 is an abundant number, since it is smaller than the sum of its proper divisors (6906344760).

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

2533252680 is a wasteful number, since it uses less digits than its factorization.

2533252680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2533252680 is about 50331.4283524718. The cubic root of 2533252680 is about 1363.1997682544.

The spelling of 2533252680 in words is "two billion, five hundred thirty-three million, two hundred fifty-two thousand, six hundred eighty".