2051504400 has 240 divisors, whose sum is σ = 7270695360. Its totient is φ = 490291200.

The previous prime is 2051504303. The next prime is 2051504431. The reversal of 2051504400 is 44051502.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962536 + ... + 964664.

It is an arithmetic number, because the mean of its divisors is an integer number (30294564).

Almost surely, 2^2051504400 is an apocalyptic number.

2051504400 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 2051504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635347680).

2051504400 is an abundant number, since it is smaller than the sum of its proper divisors (5219190960).

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

2051504400 is a wasteful number, since it uses less digits than its factorization.

2051504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2051504400 is about 45293.5359626514. The cubic root of 2051504400 is about 1270.6447632298.

Adding to 2051504400 its reverse (44051502), we get a palindrome (2095555902).

The spelling of 2051504400 in words is "two billion, fifty-one million, five hundred four thousand, four hundred".