2149142400 has 144 divisors (see below), whose sum is σ = 7668735360. Its totient is φ = 573096960.

The previous prime is 2149142357. The next prime is 2149142407. The reversal of 2149142400 is 42419412.

It is a happy number.

2149142400 is a `hidden beast` number, since 214 + 9 + 1 + 42 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149142407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8512 + ... + 66111.

Almost surely, 2^2149142400 is an apocalyptic number.

2149142400 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 2149142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834367680).

2149142400 is an abundant number, since it is smaller than the sum of its proper divisors (5519592960).

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

2149142400 is a wasteful number, since it uses less digits than its factorization.

2149142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74653 (or 74633 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2149142400 is about 46358.8438164715. The cubic root of 2149142400 is about 1290.4912497143.

The spelling of 2149142400 in words is "two billion, one hundred forty-nine million, one hundred forty-two thousand, four hundred".