2521435840 has 224 divisors, whose sum is σ = 7729532928. Its totient is φ = 760320000.

The previous prime is 2521435757. The next prime is 2521435877. The reversal of 2521435840 is 485341252.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2521435796 and 2521435805.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762190 + ... + 765490.

Almost surely, 2^2521435840 is an apocalyptic number.

2521435840 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 2521435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864766464).

2521435840 is an abundant number, since it is smaller than the sum of its proper divisors (5208097088).

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

2521435840 is a wasteful number, since it uses less digits than its factorization.

2521435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 2521435840 is about 50213.9008642029. The cubic root of 2521435840 is about 1361.0768288180.

The spelling of 2521435840 in words is "two billion, five hundred twenty-one million, four hundred thirty-five thousand, eight hundred forty".