2574848640 has 256 divisors, whose sum is σ = 10102014720. Its totient is φ = 543227904.

The previous prime is 2574848599. The next prime is 2574848641. The reversal of 2574848640 is 468484752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2574848640.

It is not an unprimeable number, because it can be changed into a prime (2574848641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167352 + ... + 182088.

It is an arithmetic number, because the mean of its divisors is an integer number (39460995).

Almost surely, 2^2574848640 is an apocalyptic number.

2574848640 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 2574848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051007360).

2574848640 is an abundant number, since it is smaller than the sum of its proper divisors (7527166080).

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

2574848640 is a wasteful number, since it uses less digits than its factorization.

2574848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14779 (or 14767 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The square root of 2574848640 is about 50742.9664091488. The cubic root of 2574848640 is about 1370.6205369030.

The spelling of 2574848640 in words is "two billion, five hundred seventy-four million, eight hundred forty-eight thousand, six hundred forty".