2649052032 has 256 divisors, whose sum is σ = 7956195840. Its totient is φ = 780595200.

The previous prime is 2649052031. The next prime is 2649052069. The reversal of 2649052032 is 2302509462.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2649051984 and 2649052002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649052031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36288348 + ... + 36288420.

It is an arithmetic number, because the mean of its divisors is an integer number (31078890).

Almost surely, 2^2649052032 is an apocalyptic number.

2649052032 is a gapful number since it is divisible by the number (22) 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 2649052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978097920).

2649052032 is an abundant number, since it is smaller than the sum of its proper divisors (5307143808).

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

2649052032 is an equidigital number, since it uses as much as digits as its factorization.

2649052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2649052032 is about 51468.9424021905. The cubic root of 2649052032 is about 1383.6624746324.

The spelling of 2649052032 in words is "two billion, six hundred forty-nine million, fifty-two thousand, thirty-two".