2152120400 has 120 divisors (see below), whose sum is σ = 5296324704. Its totient is φ = 840153600.

The previous prime is 2152120387. The next prime is 2152120417. The reversal of 2152120400 is 40212512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3510494 + ... + 3511106.

Almost surely, 2^2152120400 is an apocalyptic number.

2152120400 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 2152120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648162352).

2152120400 is an abundant number, since it is smaller than the sum of its proper divisors (3144204304).

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

2152120400 is a wasteful number, since it uses less digits than its factorization.

2152120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2152120400 is about 46390.9517039692. The cubic root of 2152120400 is about 1291.0870391831.

Adding to 2152120400 its reverse (40212512), we get a palindrome (2192332912).

The spelling of 2152120400 in words is "two billion, one hundred fifty-two million, one hundred twenty thousand, four hundred".