2380464100 has 243 divisors, whose sum is σ = 6542718609. Its totient is φ = 749414400.

The previous prime is 2380464067. The next prime is 2380464137. The reversal of 2380464100 is 14640832.

The square root of 2380464100 is 48790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2061341604 + 319122496 = 45402^2 + 17864^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 58060080 + ... + 58060120.

Almost surely, 2^2380464100 is an apocalyptic number.

2380464100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2380464100 is the 48790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380464100

2380464100 is an abundant number, since it is smaller than the sum of its proper divisors (4162254509).

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

2380464100 is a wasteful number, since it uses less digits than its factorization.

2380464100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The cubic root of 2380464100 is about 1335.2232275980.

The spelling of 2380464100 in words is "two billion, three hundred eighty million, four hundred sixty-four thousand, one hundred".