2140800 has 96 divisors (see below), whose sum is σ = 7082880. Its totient is φ = 568320.

The previous prime is 2140781. The next prime is 2140807. The reversal of 2140800 is 80412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2140800.

It is not an unprimeable number, because it can be changed into a prime (2140807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9489 + ... + 9711.

It is an arithmetic number, because the mean of its divisors is an integer number (73780).

2^2140800 is an apocalyptic number.

2140800 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 2140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541440).

2140800 is an abundant number, since it is smaller than the sum of its proper divisors (4942080).

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

2140800 is a wasteful number, since it uses less digits than its factorization.

2140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2140800 is about 1463.1472926538. The cubic root of 2140800 is about 128.8819303065.

The spelling of 2140800 in words is "two million, one hundred forty thousand, eight hundred".