2159400 has 96 divisors (see below), whose sum is σ = 6919200. Its totient is φ = 556800.

The previous prime is 2159383. The next prime is 2159419. The reversal of 2159400 is 49512.

2159400 = T₂₃₅ + T₂₃₆ + ... + T₂₉₅.

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, 35370 + ... + 35430.

It is an arithmetic number, because the mean of its divisors is an integer number (72075).

2^2159400 is an apocalyptic number.

2159400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2159400 is the 1200-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2159400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459600).

2159400 is an abundant number, since it is smaller than the sum of its proper divisors (4759800).

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

2159400 is a wasteful number, since it uses less digits than its factorization.

2159400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2159400 is about 1469.4897073474. The cubic root of 2159400 is about 129.2541112119.

The spelling of 2159400 in words is "two million, one hundred fifty-nine thousand, four hundred".