2421435205200 has 720 divisors, whose sum is σ = 8697942546048. Its totient is φ = 575275008000.

The previous prime is 2421435205171. The next prime is 2421435205223. The reversal of 2421435205200 is 25025341242.

It is a super-2 number, since 2×2421435205200² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1989674992 + ... + 1989676208.

Almost surely, 2^{2421435205200} is an apocalyptic number.

2421435205200 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 2421435205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348971273024).

2421435205200 is an abundant number, since it is smaller than the sum of its proper divisors (6276507340848).

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

2421435205200 is a wasteful number, since it uses less digits than its factorization.

2421435205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 2421435205200 in words is "two trillion, four hundred twenty-one billion, four hundred thirty-five million, two hundred five thousand, two hundred".