2130050400 has 144 divisors (see below), whose sum is σ = 6978709584. Its totient is φ = 564295680.

The previous prime is 2130050371. The next prime is 2130050441. The reversal of 2130050400 is 40500312.

It is a super-2 number, since 2×2130050400² = 9074229413080320000, which contains 22 as substring.

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 2130050400.

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, 373974 + ... + 379626.

It is an arithmetic number, because the mean of its divisors is an integer number (48463261).

Almost surely, 2^2130050400 is an apocalyptic number.

2130050400 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 2130050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489354792).

2130050400 is an abundant number, since it is smaller than the sum of its proper divisors (4848659184).

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

2130050400 is a wasteful number, since it uses less digits than its factorization.

2130050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2130050400 is about 46152.4690563788. The cubic root of 2130050400 is about 1286.6584993560.

Adding to 2130050400 its reverse (40500312), we get a palindrome (2170550712).

The spelling of 2130050400 in words is "two billion, one hundred thirty million, fifty thousand, four hundred".