2051150400 has 252 divisors, whose sum is σ = 7851779572. Its totient is φ = 504852480.

The previous prime is 2051150369. The next prime is 2051150417. The reversal of 2051150400 is 40511502.

2051150400 is a `hidden beast` number, since 205 + 11 + 50 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 151585344 + 1899565056 = 12312^2 + 43584^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181722 + ... + 192678.

Almost surely, 2^2051150400 is an apocalyptic number.

2051150400 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 2051150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925889786).

2051150400 is an abundant number, since it is smaller than the sum of its proper divisors (5800629172).

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

2051150400 is a wasteful number, since it uses less digits than its factorization.

2051150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10998 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2051150400 is about 45289.6279516624. The cubic root of 2051150400 is about 1270.5716731078.

Adding to 2051150400 its reverse (40511502), we get a palindrome (2091661902).

The spelling of 2051150400 in words is "two billion, fifty-one million, one hundred fifty thousand, four hundred".