2681400 has 96 divisors (see below), whose sum is σ = 8593200. Its totient is φ = 691200.

The previous prime is 2681389. The next prime is 2681417. The reversal of 2681400 is 41862.

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, 24546 + ... + 24654.

2^2681400 is an apocalyptic number.

2681400 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 2681400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296600).

2681400 is an abundant number, since it is smaller than the sum of its proper divisors (5911800).

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

2681400 is a wasteful number, since it uses less digits than its factorization.

2681400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2681400 is about 1637.4980916019. The cubic root of 2681400 is about 138.9271740382.

It can be divided in two parts, 2681 and 400, that added together give a triangular number (3081 = T₇₈).

The spelling of 2681400 in words is "two million, six hundred eighty-one thousand, four hundred".