2412352800 has 864 divisors, whose sum is σ = 10473079680. Its totient is φ = 532224000.

The previous prime is 2412352799. The next prime is 2412352807. The reversal of 2412352800 is 82532142.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (2412352807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33976765 + ... + 33976835.

It is an arithmetic number, because the mean of its divisors is an integer number (12121620).

Almost surely, 2^2412352800 is an apocalyptic number.

2412352800 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 2412352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236539840).

2412352800 is an abundant number, since it is smaller than the sum of its proper divisors (8060726880).

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

2412352800 is a wasteful number, since it uses less digits than its factorization.

2412352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

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

The square root of 2412352800 is about 49115.7082815671. The cubic root of 2412352800 is about 1341.1590180229.

Adding to 2412352800 its reverse (82532142), we get a palindrome (2494884942).

The spelling of 2412352800 in words is "two billion, four hundred twelve million, three hundred fifty-two thousand, eight hundred".