2380420224 has 576 divisors, whose sum is σ = 9054776640. Its totient is φ = 606154752.

The previous prime is 2380420199. The next prime is 2380420247. The reversal of 2380420224 is 4220240832.

2380420224 is a `hidden beast` number, since 238 + 0 + 420 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 82083442 + ... + 82083470.

Almost surely, 2^2380420224 is an apocalyptic number.

2380420224 is a gapful number since it is divisible by the number (24) 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 2380420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527388320).

2380420224 is an abundant number, since it is smaller than the sum of its proper divisors (6674356416).

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

2380420224 is an equidigital number, since it uses as much as digits as its factorization.

2380420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2380420224 is about 48789.5503566081. The cubic root of 2380420224 is about 1335.2150240696.

The spelling of 2380420224 in words is "two billion, three hundred eighty million, four hundred twenty thousand, two hundred twenty-four".