2681564106 has 32 divisors (see below), whose sum is σ = 5821175808. Its totient is φ = 818596800.

The previous prime is 2681564059. The next prime is 2681564111. The reversal of 2681564106 is 6014651862.

It is a happy number.

It is a super-3 number, since 3×2681564106³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125445 + ... + 145256.

It is an arithmetic number, because the mean of its divisors is an integer number (181911744).

Almost surely, 2^2681564106 is an apocalyptic number.

2681564106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2681564106 is an abundant number, since it is smaller than the sum of its proper divisors (3139611702).

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

2681564106 is a wasteful number, since it uses less digits than its factorization.

2681564106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270846.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2681564106 is about 51783.8208903128. The cubic root of 2681564106 is about 1389.3000816935.

The spelling of 2681564106 in words is "two billion, six hundred eighty-one million, five hundred sixty-four thousand, one hundred six".