2521974000 has 640 divisors, whose sum is σ = 10399334400. Its totient is φ = 511488000.

The previous prime is 2521973981. The next prime is 2521974011. The reversal of 2521974000 is 4791252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16925926 + ... + 16926074.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 2^2521974000 is an apocalyptic number.

2521974000 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 2521974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199667200).

2521974000 is an abundant number, since it is smaller than the sum of its proper divisors (7877360400).

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

2521974000 is a wasteful number, since it uses less digits than its factorization.

2521974000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2521974000 is about 50219.2592537962. The cubic root of 2521974000 is about 1361.1736552623.

The spelling of 2521974000 in words is "two billion, five hundred twenty-one million, nine hundred seventy-four thousand".