2574242440 has 256 divisors, whose sum is σ = 7584192000. Its totient is φ = 778982400.

The previous prime is 2574242431. The next prime is 2574242509. The reversal of 2574242440 is 442424752.

2574242440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2574242396 and 2574242405.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5583810 + ... + 5584270.

It is an arithmetic number, because the mean of its divisors is an integer number (29625750).

Almost surely, 2^2574242440 is an apocalyptic number.

2574242440 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 2574242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792096000).

2574242440 is an abundant number, since it is smaller than the sum of its proper divisors (5009949560).

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

2574242440 is a wasteful number, since it uses less digits than its factorization.

2574242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 34.

The square root of 2574242440 is about 50736.9928158932. The cubic root of 2574242440 is about 1370.5129661291.

The spelling of 2574242440 in words is "two billion, five hundred seventy-four million, two hundred forty-two thousand, four hundred forty".