2380894560 has 576 divisors, whose sum is σ = 9708491520. Its totient is φ = 544942080.

The previous prime is 2380894531. The next prime is 2380894583. The reversal of 2380894560 is 654980832.

2380894560 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 89 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8125774 + ... + 8126066.

It is an arithmetic number, because the mean of its divisors is an integer number (16855020).

Almost surely, 2^2380894560 is an apocalyptic number.

2380894560 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 2380894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854245760).

2380894560 is an abundant number, since it is smaller than the sum of its proper divisors (7327596960).

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

2380894560 is a wasteful number, since it uses less digits than its factorization.

2380894560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2380894560 is about 48794.4111553772. The cubic root of 2380894560 is about 1335.3037056792.

The spelling of 2380894560 in words is "two billion, three hundred eighty million, eight hundred ninety-four thousand, five hundred sixty".