2681752320 has 576 divisors, whose sum is σ = 10549002240. Its totient is φ = 640991232.

The previous prime is 2681752301. The next prime is 2681752369. The reversal of 2681752320 is 232571862.

2681752320 is a `hidden beast` number, since 268 + 1 + 75 + 2 + 320 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 21116097 + ... + 21116223.

It is an arithmetic number, because the mean of its divisors is an integer number (18314240).

Almost surely, 2^2681752320 is an apocalyptic number.

2681752320 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 2681752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274501120).

2681752320 is an abundant number, since it is smaller than the sum of its proper divisors (7867249920).

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

2681752320 is a wasteful number, since it uses less digits than its factorization.

2681752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2681752320 is about 51785.6381634909. The cubic root of 2681752320 is about 1389.3325850631.

The spelling of 2681752320 in words is "two billion, six hundred eighty-one million, seven hundred fifty-two thousand, three hundred twenty".