2413104480 has 384 divisors, whose sum is σ = 8972328960. Its totient is φ = 604661760.

The previous prime is 2413104467. The next prime is 2413104509. The reversal of 2413104480 is 844013142.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4954797 + ... + 4955283.

It is an arithmetic number, because the mean of its divisors is an integer number (23365440).

Almost surely, 2^2413104480 is an apocalyptic number.

2413104480 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 2413104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486164480).

2413104480 is an abundant number, since it is smaller than the sum of its proper divisors (6559224480).

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

2413104480 is a wasteful number, since it uses less digits than its factorization.

2413104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2413104480 is about 49123.3598199472. The cubic root of 2413104480 is about 1341.2983035812.

The spelling of 2413104480 in words is "two billion, four hundred thirteen million, one hundred four thousand, four hundred eighty".