2552961096 has 96 divisors (see below), whose sum is σ = 7911596160. Its totient is φ = 728534016.

The previous prime is 2552961079. The next prime is 2552961097. The reversal of 2552961096 is 6901692552.

It is a happy number.

2552961096 is a `hidden beast` number, since 2 + 5 + 5 + 29 + 610 + 9 + 6 = 666.

It is a super-3 number, since 3×2552961096³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2552961097) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 492856 + ... + 498008.

It is an arithmetic number, because the mean of its divisors is an integer number (82412460).

Almost surely, 2^2552961096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552961096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955798080).

2552961096 is an abundant number, since it is smaller than the sum of its proper divisors (5358635064).

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

2552961096 is a wasteful number, since it uses less digits than its factorization.

2552961096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 2552961096 is about 50526.8354045650. The cubic root of 2552961096 is about 1366.7258193182.

The spelling of 2552961096 in words is "two billion, five hundred fifty-two million, nine hundred sixty-one thousand, ninety-six".