2413572480 has 288 divisors, whose sum is σ = 9163561680. Its totient is φ = 584939520.

The previous prime is 2413572443. The next prime is 2413572481. The reversal of 2413572480 is 842753142.

It is a happy number.

2413572480 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 572 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413572481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 695229 + ... + 698691.

Almost surely, 2^2413572480 is an apocalyptic number.

2413572480 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 2413572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581780840).

2413572480 is an abundant number, since it is smaller than the sum of its proper divisors (6749989200).

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

2413572480 is a wasteful number, since it uses less digits than its factorization.

2413572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2413572480 is about 49128.1231068316. The cubic root of 2413572480 is about 1341.3850089069.

The spelling of 2413572480 in words is "two billion, four hundred thirteen million, five hundred seventy-two thousand, four hundred eighty".