2380408408 has 128 divisors (see below), whose sum is σ = 5651251200. Its totient is φ = 916531200.

The previous prime is 2380408379. The next prime is 2380408417. The reversal of 2380408408 is 8048040832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2330938 + ... + 2331958.

It is an arithmetic number, because the mean of its divisors is an integer number (44150400).

Almost surely, 2^2380408408 is an apocalyptic number.

2380408408 is a gapful number since it is divisible by the number (28) 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 2380408408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825625600).

2380408408 is an abundant number, since it is smaller than the sum of its proper divisors (3270842792).

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

2380408408 is a wasteful number, since it uses less digits than its factorization.

2380408408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 2380408408 is about 48789.4292649545. The cubic root of 2380408408 is about 1335.2128148061.

The spelling of 2380408408 in words is "two billion, three hundred eighty million, four hundred eight thousand, four hundred eight".