2649890628 has 288 divisors, whose sum is σ = 8831047680. Its totient is φ = 649566720.

The previous prime is 2649890627. The next prime is 2649890693. The reversal of 2649890628 is 8260989462.

It is a happy number.

2649890628 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 8 + 9 + 0 + 628 = 666.

It is not an unprimeable number, because it can be changed into a prime (2649890627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5674051 + ... + 5674517.

It is an arithmetic number, because the mean of its divisors is an integer number (30663360).

Almost surely, 2^2649890628 is an apocalyptic number.

2649890628 is a gapful number since it is divisible by the number (28) 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 2649890628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415523840).

2649890628 is an abundant number, since it is smaller than the sum of its proper divisors (6181157052).

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

2649890628 is a wasteful number, since it uses less digits than its factorization.

2649890628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2649890628 is about 51477.0883792003. The cubic root of 2649890628 is about 1383.8084653974.

The spelling of 2649890628 in words is "two billion, six hundred forty-nine million, eight hundred ninety thousand, six hundred twenty-eight".