2421770400 has 720 divisors, whose sum is σ = 10662442560. Its totient is φ = 522547200.

The previous prime is 2421770399. The next prime is 2421770489. The reversal of 2421770400 is 40771242.

It is a happy number.

2421770400 is a `hidden beast` number, since 242 + 17 + 7 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8618260 + ... + 8618540.

It is an arithmetic number, because the mean of its divisors is an integer number (14808948).

Almost surely, 2^2421770400 is an apocalyptic number.

2421770400 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 2421770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331221280).

2421770400 is an abundant number, since it is smaller than the sum of its proper divisors (8240672160).

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

2421770400 is a wasteful number, since it uses less digits than its factorization.

2421770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 2421770400 is about 49211.4864640360. The cubic root of 2421770400 is about 1342.9020050114.

The spelling of 2421770400 in words is "two billion, four hundred twenty-one million, seven hundred seventy thousand, four hundred".