2151013200 has 240 divisors, whose sum is σ = 7928111616. Its totient is φ = 488332800.

The previous prime is 2151013133. The next prime is 2151013219. The reversal of 2151013200 is 23101512.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2151013200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1368415 + ... + 1369985.

Almost surely, 2^2151013200 is an apocalyptic number.

2151013200 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 2151013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964055808).

2151013200 is an abundant number, since it is smaller than the sum of its proper divisors (5777098416).

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

2151013200 is a wasteful number, since it uses less digits than its factorization.

2151013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2151013200 is about 46379.0168071726. The cubic root of 2151013200 is about 1290.8655929630.

Adding to 2151013200 its reverse (23101512), we get a palindrome (2174114712).

The spelling of 2151013200 in words is "two billion, one hundred fifty-one million, thirteen thousand, two hundred".