2752351488 has 360 divisors, whose sum is σ = 8903664000. Its totient is φ = 843042816.

The previous prime is 2752351487. The next prime is 2752351543. The reversal of 2752351488 is 8841532572.

2752351488 is a `hidden beast` number, since 2 + 7 + 52 + 3 + 514 + 88 = 666.

Its product of digits (537600) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752351487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13830813 + ... + 13831011.

It is an arithmetic number, because the mean of its divisors is an integer number (24732400).

Almost surely, 2^2752351488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2752351488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451832000).

2752351488 is an abundant number, since it is smaller than the sum of its proper divisors (6151312512).

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

2752351488 is a wasteful number, since it uses less digits than its factorization.

2752351488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 2752351488 is about 52462.8581760468. The cubic root of 2752351488 is about 1401.4188825828.

The spelling of 2752351488 in words is "two billion, seven hundred fifty-two million, three hundred fifty-one thousand, four hundred eighty-eight".