2642945760 has 768 divisors, whose sum is σ = 11664414720. Its totient is φ = 550914048.

The previous prime is 2642945743. The next prime is 2642945761. The reversal of 2642945760 is 675492462.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642945761) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 31842679 + ... + 31842761.

It is an arithmetic number, because the mean of its divisors is an integer number (15188040).

It is a vampire number, since it can be written as 44226 ⋅ 59760 (with its own digits).

Almost surely, 2^2642945760 is an apocalyptic number.

2642945760 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 2642945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832207360).

2642945760 is an abundant number, since it is smaller than the sum of its proper divisors (9021468960).

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

2642945760 is an equidigital number, since it uses as much as digits as its factorization.

2642945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2642945760 is about 51409.5882107608. The cubic root of 2642945760 is about 1382.5985066502.

The spelling of 2642945760 in words is "two billion, six hundred forty-two million, nine hundred forty-five thousand, seven hundred sixty".