2681465040 has 320 divisors, whose sum is σ = 9594028800. Its totient is φ = 687937536.

The previous prime is 2681465021. The next prime is 2681465081. The reversal of 2681465040 is 405641862.

2681465040 is a `hidden beast` number, since 2 + 6 + 8 + 146 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2681464986 and 2681465004.

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, 6754122 + ... + 6754518.

It is an arithmetic number, because the mean of its divisors is an integer number (29981340).

Almost surely, 2^2681465040 is an apocalyptic number.

2681465040 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 2681465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797014400).

2681465040 is an abundant number, since it is smaller than the sum of its proper divisors (6912563760).

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

2681465040 is a wasteful number, since it uses less digits than its factorization.

2681465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2681465040 is about 51782.8643471950. The cubic root of 2681465040 is about 1389.2829730097.

The spelling of 2681465040 in words is "two billion, six hundred eighty-one million, four hundred sixty-five thousand, forty".