2413466400 has 144 divisors (see below), whose sum is σ = 7944804000. Its totient is φ = 636303360.

The previous prime is 2413466399. The next prime is 2413466413. The reversal of 2413466400 is 46643142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207951 + ... + 219249.

It is an arithmetic number, because the mean of its divisors is an integer number (55172250).

Almost surely, 2^2413466400 is an apocalyptic number.

2413466400 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 2413466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972402000).

2413466400 is an abundant number, since it is smaller than the sum of its proper divisors (5531337600).

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

2413466400 is a wasteful number, since it uses less digits than its factorization.

2413466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11411 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2413466400 is about 49127.0434689490. The cubic root of 2413466400 is about 1341.3653566821.

The spelling of 2413466400 in words is "two billion, four hundred thirteen million, four hundred sixty-six thousand, four hundred".