2489864832 has 720 divisors, whose sum is σ = 9655455150. Its totient is φ = 634023936.

The previous prime is 2489864759. The next prime is 2489864843. The reversal of 2489864832 is 2384689842.

2489864832 is a `hidden beast` number, since 2 + 4 + 89 + 86 + 483 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1280494656 + 1209370176 = 35784^2 + 34776^2 .

It is a super-3 number, since 3×2489864832³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5308416) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 85857394 + ... + 85857422.

Almost surely, 2^2489864832 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 2489864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827727575).

2489864832 is an abundant number, since it is smaller than the sum of its proper divisors (7165590318).

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

2489864832 is a wasteful number, since it uses less digits than its factorization.

2489864832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 2489864832 is about 49898.5453896203. The cubic root of 2489864832 is about 1355.3722523121.

The spelling of 2489864832 in words is "two billion, four hundred eighty-nine million, eight hundred sixty-four thousand, eight hundred thirty-two".