2458874880 has 990 divisors, whose sum is σ = 11266290882. Its totient is φ = 510935040.

The previous prime is 2458874879. The next prime is 2458874897. The reversal of 2458874880 is 884788542.

It can be written as a sum of positive squares in only one way, i.e., 1967099904 + 491774976 = 44352^2 + 22176^2 .

It is a tau number, because it is divible by the number of its divisors (990).

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

It is a congruent number.

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, 223534075 + ... + 223534085.

Almost surely, 2^2458874880 is an apocalyptic number.

2458874880 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 2458874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633145441).

2458874880 is an abundant number, since it is smaller than the sum of its proper divisors (8807416002).

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

2458874880 is a wasteful number, since it uses less digits than its factorization.

2458874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The square root of 2458874880 is about 49587.0434690353. The cubic root of 2458874880 is about 1349.7255738484.

The spelling of 2458874880 in words is "two billion, four hundred fifty-eight million, eight hundred seventy-four thousand, eight hundred eighty".