2141402400 has 144 divisors (see below), whose sum is σ = 7744816800. Its totient is φ = 571034880.

The previous prime is 2141402383. The next prime is 2141402401. The reversal of 2141402400 is 42041412.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2141402401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27970 + ... + 71169.

It is an arithmetic number, because the mean of its divisors is an integer number (53783450).

Almost surely, 2^2141402400 is an apocalyptic number.

2141402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141402400 is an abundant number, since it is smaller than the sum of its proper divisors (5603414400).

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

2141402400 is a wasteful number, since it uses less digits than its factorization.

2141402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99168 (or 99149 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2141402400 is about 46275.2893021751. The cubic root of 2141402400 is about 1288.9401787402.

Adding to 2141402400 its reverse (42041412), we get a palindrome (2183443812).

The spelling of 2141402400 in words is "two billion, one hundred forty-one million, four hundred two thousand, four hundred".