2649296160 has 960 divisors, whose sum is σ = 11855289600. Its totient is φ = 543449088.

The previous prime is 2649296159. The next prime is 2649296161. The reversal of 2649296160 is 616929462.

2649296160 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 29 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2649296159) and next prime (2649296161).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2649296161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49986694 + ... + 49986746.

It is an arithmetic number, because the mean of its divisors is an integer number (12349260).

Almost surely, 2^2649296160 is an apocalyptic number.

2649296160 is a gapful number since it is divisible by the number (20) 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 2649296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927644800).

2649296160 is an abundant number, since it is smaller than the sum of its proper divisors (9205993440).

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

2649296160 is a wasteful number, since it uses less digits than its factorization.

2649296160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2649296160 is about 51471.3139525309. The cubic root of 2649296160 is about 1383.7049779346.

The spelling of 2649296160 in words is "two billion, six hundred forty-nine million, two hundred ninety-six thousand, one hundred sixty".