2681571840 has 640 divisors, whose sum is σ = 10182205440. Its totient is φ = 596901888.

The previous prime is 2681571839. The next prime is 2681571899. The reversal of 2681571840 is 481751862.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 2681571792 and 2681571801.

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, 57054697 + ... + 57054743.

It is an arithmetic number, because the mean of its divisors is an integer number (15909696).

Almost surely, 2^2681571840 is an apocalyptic number.

2681571840 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 2681571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091102720).

2681571840 is an abundant number, since it is smaller than the sum of its proper divisors (7500633600).

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

2681571840 is a wasteful number, since it uses less digits than its factorization.

2681571840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 2681571840 is about 51783.8955660927. The cubic root of 2681571840 is about 1389.3014173364.

The spelling of 2681571840 in words is "two billion, six hundred eighty-one million, five hundred seventy-one thousand, eight hundred forty".