2413321800 has 48 divisors (see below), whose sum is σ = 7481299440. Its totient is φ = 643552320.

The previous prime is 2413321777. The next prime is 2413321811. The reversal of 2413321800 is 81233142.

2413321800 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 super-2 number, since 2×2413321800² = 11648244220710480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2010502 + ... + 2011701.

It is an arithmetic number, because the mean of its divisors is an integer number (155860405).

Almost surely, 2^2413321800 is an apocalyptic number.

2413321800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413321800 is an abundant number, since it is smaller than the sum of its proper divisors (5067977640).

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

2413321800 is a wasteful number, since it uses less digits than its factorization.

2413321800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022222 (or 4022213 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2413321800 is about 49125.5717523980. The cubic root of 2413321800 is about 1341.3385673713.

Adding to 2413321800 its reverse (81233142), we get a palindrome (2494554942).

The spelling of 2413321800 in words is "two billion, four hundred thirteen million, three hundred twenty-one thousand, eight hundred".