2141102400 has 336 divisors, whose sum is σ = 7834944960. Its totient is φ = 508723200.

The previous prime is 2141102399. The next prime is 2141102413. The reversal of 2141102400 is 42011412.

2141102400 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2141102400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1549710 + ... + 1551090.

Almost surely, 2^2141102400 is an apocalyptic number.

2141102400 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 2141102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917472480).

2141102400 is an abundant number, since it is smaller than the sum of its proper divisors (5693842560).

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

2141102400 is a wasteful number, since it uses less digits than its factorization.

2141102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2141102400 is about 46272.0477178177. The cubic root of 2141102400 is about 1288.8799845247.

Adding to 2141102400 its reverse (42011412), we get a palindrome (2183113812).

The spelling of 2141102400 in words is "two billion, one hundred forty-one million, one hundred two thousand, four hundred".