2681592480 has 576 divisors, whose sum is σ = 11095418880. Its totient is φ = 598938624.

The previous prime is 2681592467. The next prime is 2681592481. The reversal of 2681592480 is 842951862.

2681592480 is a `hidden beast` number, since 2 + 6 + 81 + 5 + 92 + 480 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681592481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16057357 + ... + 16057523.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

Almost surely, 2^2681592480 is an apocalyptic number.

2681592480 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 2681592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547709440).

2681592480 is an abundant number, since it is smaller than the sum of its proper divisors (8413826400).

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

2681592480 is a wasteful number, since it uses less digits than its factorization.

2681592480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2681592480 is about 51784.0948554670. The cubic root of 2681592480 is about 1389.3049818015.

The spelling of 2681592480 in words is "two billion, six hundred eighty-one million, five hundred ninety-two thousand, four hundred eighty".