2574988416 has 864 divisors, whose sum is σ = 10555026300. Its totient is φ = 596090880.

The previous prime is 2574988369. The next prime is 2574988441. The reversal of 2574988416 is 6148894752.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2489610816 + 85377600 = 49896^2 + 9240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 88792690 + ... + 88792718.

Almost surely, 2^2574988416 is an apocalyptic number.

2574988416 is a gapful number since it is divisible by the number (26) 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 2574988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277513150).

2574988416 is an abundant number, since it is smaller than the sum of its proper divisors (7980037884).

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

2574988416 is a wasteful number, since it uses less digits than its factorization.

2574988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 2574988416 is about 50744.3436847891. The cubic root of 2574988416 is about 1370.6453378934.

The spelling of 2574988416 in words is "two billion, five hundred seventy-four million, nine hundred eighty-eight thousand, four hundred sixteen".