2521290240 has 560 divisors, whose sum is σ = 10412110368. Its totient is φ = 573308928.

The previous prime is 2521290197. The next prime is 2521290241. The reversal of 2521290240 is 420921252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2521290241) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 13063584 + ... + 13063776.

Almost surely, 2^2521290240 is an apocalyptic number.

2521290240 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 2521290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206055184).

2521290240 is an abundant number, since it is smaller than the sum of its proper divisors (7890820128).

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

2521290240 is an frugal number, since it uses more digits than its factorization.

2521290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2521290240 is about 50212.4510455325. The cubic root of 2521290240 is about 1361.0506299095.

The spelling of 2521290240 in words is "two billion, five hundred twenty-one million, two hundred ninety thousand, two hundred forty".