2421315600 has 240 divisors, whose sum is σ = 8623537344. Its totient is φ = 575744000.

The previous prime is 2421315599. The next prime is 2421315601. The reversal of 2421315600 is 65131242.

It is an interprime number because it is at equal distance from previous prime (2421315599) and next prime (2421315601).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2421315601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697870 + ... + 701330.

Almost surely, 2^2421315600 is an apocalyptic number.

2421315600 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 2421315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311768672).

2421315600 is an abundant number, since it is smaller than the sum of its proper divisors (6202221744).

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

2421315600 is a wasteful number, since it uses less digits than its factorization.

2421315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2421315600 is about 49206.8653746609. The cubic root of 2421315600 is about 1342.8179356506.

Adding to 2421315600 its reverse (65131242), we get a palindrome (2486446842).

The spelling of 2421315600 in words is "two billion, four hundred twenty-one million, three hundred fifteen thousand, six hundred".