2420928000 has 400 divisors, whose sum is σ = 9037149264. Its totient is φ = 644198400.

The previous prime is 2420927989. The next prime is 2420928023. The reversal of 2420928000 is 8290242.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5183767 + ... + 5184233.

Almost surely, 2^2420928000 is an apocalyptic number.

2420928000 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 2420928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518574632).

2420928000 is an abundant number, since it is smaller than the sum of its proper divisors (6616221264).

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

2420928000 is an frugal number, since it uses more digits than its factorization.

2420928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2420928000 is about 49202.9267422173. The cubic root of 2420928000 is about 1342.7462798386.

The spelling of 2420928000 in words is "two billion, four hundred twenty million, nine hundred twenty-eight thousand".