2413504080 has 640 divisors, whose sum is σ = 9689379840. Its totient is φ = 547430400.

The previous prime is 2413504069. The next prime is 2413504087. The reversal of 2413504080 is 804053142.

2413504080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (2413504087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23896030 + ... + 23896130.

It is an arithmetic number, because the mean of its divisors is an integer number (15139656).

Almost surely, 2^2413504080 is an apocalyptic number.

2413504080 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 2413504080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844689920).

2413504080 is an abundant number, since it is smaller than the sum of its proper divisors (7275875760).

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

2413504080 is a wasteful number, since it uses less digits than its factorization.

2413504080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2413504080 is about 49127.4269629501. The cubic root of 2413504080 is about 1341.3723372894.

The spelling of 2413504080 in words is "two billion, four hundred thirteen million, five hundred four thousand, eighty".