2552252040 has 384 divisors, whose sum is σ = 9444314880. Its totient is φ = 593049600.

The previous prime is 2552251993. The next prime is 2552252077. The reversal of 2552252040 is 402522552.

It is a junction number, because it is equal to n+sod(n) for n = 2552251995 and 2552252013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14100750 + ... + 14100930.

It is an arithmetic number, because the mean of its divisors is an integer number (24594570).

Almost surely, 2^2552252040 is an apocalyptic number.

2552252040 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 2552252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722157440).

2552252040 is an abundant number, since it is smaller than the sum of its proper divisors (6892062840).

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

2552252040 is a wasteful number, since it uses less digits than its factorization.

2552252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2552252040 is about 50519.8182894594. The cubic root of 2552252040 is about 1366.5992767352.

Adding to 2552252040 its reverse (402522552), we get a palindrome (2954774592).

The spelling of 2552252040 in words is "two billion, five hundred fifty-two million, two hundred fifty-two thousand, forty".