2533754520 has 480 divisors, whose sum is σ = 9802568160. Its totient is φ = 585446400.

The previous prime is 2533754507. The next prime is 2533754533. The reversal of 2533754520 is 254573352.

2533754520 is a `hidden beast` number, since 2 + 53 + 37 + 54 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2533754507) and next prime (2533754533).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9016780 + ... + 9017060.

It is an arithmetic number, because the mean of its divisors is an integer number (20422017).

Almost surely, 2^2533754520 is an apocalyptic number.

2533754520 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 2533754520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901284080).

2533754520 is an abundant number, since it is smaller than the sum of its proper divisors (7268813640).

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

2533754520 is a wasteful number, since it uses less digits than its factorization.

2533754520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 2533754520 is about 50336.4134598404. The cubic root of 2533754520 is about 1363.2897794099.

The spelling of 2533754520 in words is "two billion, five hundred thirty-three million, seven hundred fifty-four thousand, five hundred twenty".