2378987520 has 768 divisors, whose sum is σ = 10038712320. Its totient is φ = 467140608.

The previous prime is 2378987477. The next prime is 2378987539. The reversal of 2378987520 is 257898732.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64296942 + ... + 64296978.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2^2378987520 is an apocalyptic number.

2378987520 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 2378987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019356160).

2378987520 is an abundant number, since it is smaller than the sum of its proper divisors (7659724800).

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

2378987520 is a wasteful number, since it uses less digits than its factorization.

2378987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The square root of 2378987520 is about 48774.8656584516. The cubic root of 2378987520 is about 1334.9470949310.

The spelling of 2378987520 in words is "two billion, three hundred seventy-eight million, nine hundred eighty-seven thousand, five hundred twenty".