2051012400 has 120 divisors (see below), whose sum is σ = 6581912064. Its totient is φ = 545952000.

The previous prime is 2051012389. The next prime is 2051012417. The reversal of 2051012400 is 42101502.

It is a tau number, because it is divible by the number of its divisors (120).

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 2051012400.

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, 871225 + ... + 873575.

Almost surely, 2^2051012400 is an apocalyptic number.

2051012400 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 2051012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290956032).

2051012400 is an abundant number, since it is smaller than the sum of its proper divisors (4530899664).

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

2051012400 is a wasteful number, since it uses less digits than its factorization.

2051012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2051012400 is about 45288.1043983958. The cubic root of 2051012400 is about 1270.5431780702.

Adding to 2051012400 its reverse (42101502), we get a palindrome (2093113902).

The spelling of 2051012400 in words is "two billion, fifty-one million, twelve thousand, four hundred".