2681462880 has 240 divisors, whose sum is σ = 9552289824. Its totient is φ = 708341760.

The previous prime is 2681462879. The next prime is 2681462891. The reversal of 2681462880 is 882641862.

2681462880 is a `hidden beast` number, since 2 + 6 + 8 + 14 + 628 + 8 + 0 = 666.

2681462880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1463565 + ... + 1465395.

Almost surely, 2^2681462880 is an apocalyptic number.

2681462880 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 2681462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776144912).

2681462880 is an abundant number, since it is smaller than the sum of its proper divisors (6870826944).

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

2681462880 is a wasteful number, since it uses less digits than its factorization.

2681462880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2681462880 is about 51782.8434908706. The cubic root of 2681462880 is about 1389.2825999733.

The spelling of 2681462880 in words is "two billion, six hundred eighty-one million, four hundred sixty-two thousand, eight hundred eighty".