2551125040 has 80 divisors (see below), whose sum is σ = 6219530496. Its totient is φ = 971308800.

The previous prime is 2551125037. The next prime is 2551125061. The reversal of 2551125040 is 405211552.

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

It is a junction number, because it is equal to n+sod(n) for n = 2551124996 and 2551125014.

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, 384955 + ... + 391525.

Almost surely, 2^2551125040 is an apocalyptic number.

2551125040 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 2551125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109765248).

2551125040 is an abundant number, since it is smaller than the sum of its proper divisors (3668405456).

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

2551125040 is a wasteful number, since it uses less digits than its factorization.

2551125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 2551125040 is about 50508.6630193277. The cubic root of 2551125040 is about 1366.3980970042.

Adding to 2551125040 its reverse (405211552), we get a palindrome (2956336592).

The spelling of 2551125040 in words is "two billion, five hundred fifty-one million, one hundred twenty-five thousand, forty".