2421014400 has 384 divisors, whose sum is σ = 10128518400. Its totient is φ = 553236480.

The previous prime is 2421014383. The next prime is 2421014411. The reversal of 2421014400 is 44101242.

2421014400 is a `hidden beast` number, since 242 + 10 + 14 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2421014400² = 11722621450014720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602799 + ... + 606801.

It is an arithmetic number, because the mean of its divisors is an integer number (26376350).

Almost surely, 2^2421014400 is an apocalyptic number.

2421014400 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 2421014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064259200).

2421014400 is an abundant number, since it is smaller than the sum of its proper divisors (7707504000).

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

2421014400 is a wasteful number, since it uses less digits than its factorization.

2421014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2421014400 is about 49203.8047309352. The cubic root of 2421014400 is about 1342.7622533136.

Adding to 2421014400 its reverse (44101242), we get a palindrome (2465115642).

The spelling of 2421014400 in words is "two billion, four hundred twenty-one million, fourteen thousand, four hundred".