2140153200 has 360 divisors, whose sum is σ = 7778041856. Its totient is φ = 544320000.

The previous prime is 2140153159. The next prime is 2140153229. The reversal of 2140153200 is 23510412.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14173125 + ... + 14173275.

Almost surely, 2^2140153200 is an apocalyptic number.

2140153200 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 2140153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889020928).

2140153200 is an abundant number, since it is smaller than the sum of its proper divisors (5637888656).

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

2140153200 is a wasteful number, since it uses less digits than its factorization.

2140153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2140153200 is about 46261.7898486429. The cubic root of 2140153200 is about 1288.6894929796.

Adding to 2140153200 its reverse (23510412), we get a palindrome (2163663612).

The spelling of 2140153200 in words is "two billion, one hundred forty million, one hundred fifty-three thousand, two hundred".