2140032400 has 120 divisors (see below), whose sum is σ = 5647727808. Its totient is φ = 772800000.

The previous prime is 2140032373. The next prime is 2140032457. The reversal of 2140032400 is 42300412.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662790 + ... + 666010.

Almost surely, 2^2140032400 is an apocalyptic number.

2140032400 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 2140032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823863904).

2140032400 is an abundant number, since it is smaller than the sum of its proper divisors (3507695408).

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

2140032400 is a wasteful number, since it uses less digits than its factorization.

2140032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2140032400 is about 46260.4842170940. The cubic root of 2140032400 is about 1288.6652460207.

Adding to 2140032400 its reverse (42300412), we get a palindrome (2182332812).

The spelling of 2140032400 in words is "two billion, one hundred forty million, thirty-two thousand, four hundred".