2551034000 has 80 divisors (see below), whose sum is σ = 6179537520. Its totient is φ = 1018572800.

The previous prime is 2551033963. The next prime is 2551034027. The reversal of 2551034000 is 4301552.

It can be written as a sum of positive squares in 8 ways, for example, as 789385216 + 1761648784 = 28096^2 + 41972^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1857314 + ... + 1858686.

It is an arithmetic number, because the mean of its divisors is an integer number (77244219).

Almost surely, 2^2551034000 is an apocalyptic number.

2551034000 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 2551034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089768760).

2551034000 is an abundant number, since it is smaller than the sum of its proper divisors (3628503520).

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

2551034000 is a wasteful number, since it uses less digits than its factorization.

2551034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2551034000 is about 50507.7617797502. The cubic root of 2551034000 is about 1366.3818429515.

Adding to 2551034000 its reverse (4301552), we get a palindrome (2555335552).

The spelling of 2551034000 in words is "two billion, five hundred fifty-one million, thirty-four thousand".