2551703040 has 640 divisors, whose sum is σ = 10017216000. Its totient is φ = 613122048.

The previous prime is 2551703027. The next prime is 2551703047. The reversal of 2551703040 is 403071552.

It is a happy number.

2551703040 is a `hidden beast` number, since 2 + 551 + 70 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2551703040² = 13022376808690483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2551702995 and 2551703013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551703047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38085087 + ... + 38085153.

It is an arithmetic number, because the mean of its divisors is an integer number (15651900).

Almost surely, 2^2551703040 is an apocalyptic number.

2551703040 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 2551703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008608000).

2551703040 is an abundant number, since it is smaller than the sum of its proper divisors (7465512960).

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

2551703040 is a wasteful number, since it uses less digits than its factorization.

2551703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2551703040 is about 50514.3844860056. The cubic root of 2551703040 is about 1366.5012826510.

Adding to 2551703040 its reverse (403071552), we get a palindrome (2954774592).

The spelling of 2551703040 in words is "two billion, five hundred fifty-one million, seven hundred three thousand, forty".