2649100956 has 48 divisors (see below), whose sum is σ = 6573045024. Its totient is φ = 827508736.

The previous prime is 2649100933. The next prime is 2649100999. The reversal of 2649100956 is 6590019462.

It is a happy number.

2649100956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2649100956³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19666 + ... + 75398.

It is an arithmetic number, because the mean of its divisors is an integer number (136938438).

Almost surely, 2^2649100956 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 2649100956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286522512).

2649100956 is an abundant number, since it is smaller than the sum of its proper divisors (3923944068).

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

2649100956 is a wasteful number, since it uses less digits than its factorization.

2649100956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55990 (or 55988 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 2649100956 is about 51469.4176769079. The cubic root of 2649100956 is about 1383.6709926338.

The spelling of 2649100956 in words is "two billion, six hundred forty-nine million, one hundred thousand, nine hundred fifty-six".