2653298928 has 480 divisors, whose sum is σ = 9532723200. Its totient is φ = 671846400.

The previous prime is 2653298911. The next prime is 2653298951. The reversal of 2653298928 is 8298923562.

2653298928 is a `hidden beast` number, since 2 + 6 + 532 + 9 + 89 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24342138 + ... + 24342246.

It is an arithmetic number, because the mean of its divisors is an integer number (19859840).

Almost surely, 2^2653298928 is an apocalyptic number.

2653298928 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 2653298928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766361600).

2653298928 is an abundant number, since it is smaller than the sum of its proper divisors (6879424272).

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

2653298928 is a wasteful number, since it uses less digits than its factorization.

2653298928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 2653298928 is about 51510.1827603048. The cubic root of 2653298928 is about 1384.4014978906.

The spelling of 2653298928 in words is "two billion, six hundred fifty-three million, two hundred ninety-eight thousand, nine hundred twenty-eight".