2142452400 has 240 divisors, whose sum is σ = 7565730048. Its totient is φ = 513920000.

The previous prime is 2142452327. The next prime is 2142452413. The reversal of 2142452400 is 42542412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1332397 + ... + 1334003.

Almost surely, 2^2142452400 is an apocalyptic number.

2142452400 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 2142452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782865024).

2142452400 is an abundant number, since it is smaller than the sum of its proper divisors (5423277648).

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

2142452400 is a wasteful number, since it uses less digits than its factorization.

2142452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2142452400 is about 46286.6330596642. The cubic root of 2142452400 is about 1289.1508142322.

Adding to 2142452400 its reverse (42542412), we get a palindrome (2184994812).

The spelling of 2142452400 in words is "two billion, one hundred forty-two million, four hundred fifty-two thousand, four hundred".