2141512400 has 60 divisors (see below), whose sum is σ = 5150664012. Its totient is φ = 855659520.

The previous prime is 2141512397. The next prime is 2141512411. The reversal of 2141512400 is 42151412.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 106419856 + 2035092544 = 10316^2 + 45112^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 444404 + ... + 449196.

Almost surely, 2^2141512400 is an apocalyptic number.

2141512400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141512400 is an abundant number, since it is smaller than the sum of its proper divisors (3009151612).

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

2141512400 is a wasteful number, since it uses less digits than its factorization.

2141512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2141512400 is about 46276.4778262132. The cubic root of 2141512400 is about 1288.9622485439.

Adding to 2141512400 its reverse (42151412), we get a palindrome (2183663812).

The spelling of 2141512400 in words is "two billion, one hundred forty-one million, five hundred twelve thousand, four hundred".