2681406 has 48 divisors (see below), whose sum is σ = 7154784. Its totient is φ = 706752.

The previous prime is 2681389. The next prime is 2681417. The reversal of 2681406 is 6041862.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2681406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820 + ... + 2456.

It is an arithmetic number, because the mean of its divisors is an integer number (149058).

2^2681406 is an apocalyptic number.

2681406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a pronic number, being equal to 1637×1638.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577392).

2681406 is an abundant number, since it is smaller than the sum of its proper divisors (4473378).

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

2681406 is a wasteful number, since it uses less digits than its factorization.

2681406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2681406 is about 1637.4999236641. The cubic root of 2681406 is about 138.9272776610.

The spelling of 2681406 in words is "two million, six hundred eighty-one thousand, four hundred six".