2681657540 has 24 divisors (see below), whose sum is σ = 5684116032. Its totient is φ = 1062637280.

The previous prime is 2681657519. The next prime is 2681657597. The reversal of 2681657540 is 457561862.

It is a junction number, because it is equal to n+sod(n) for n = 2681657491 and 2681657500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624416 + ... + 628695.

It is an arithmetic number, because the mean of its divisors is an integer number (236838168).

Almost surely, 2^2681657540 is an apocalyptic number.

2681657540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2681657540 is an abundant number, since it is smaller than the sum of its proper divisors (3002458492).

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

2681657540 is a wasteful number, since it uses less digits than its factorization.

2681657540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253227 (or 1253225 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 2681657540 is about 51784.7230368185. The cubic root of 2681657540 is about 1389.3162173455.

The spelling of 2681657540 in words is "two billion, six hundred eighty-one million, six hundred fifty-seven thousand, five hundred forty".