2645319680 has 224 divisors, whose sum is σ = 7006681440. Its totient is φ = 954204160.

The previous prime is 2645319679. The next prime is 2645319701. The reversal of 2645319680 is 869135462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20193215 + ... + 20193345.

Almost surely, 2^2645319680 is an apocalyptic number.

2645319680 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 2645319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503340720).

2645319680 is an abundant number, since it is smaller than the sum of its proper divisors (4361361760).

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

2645319680 is a wasteful number, since it uses less digits than its factorization.

2645319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 2645319680 is about 51432.6713286409. The cubic root of 2645319680 is about 1383.0123373200.

The spelling of 2645319680 in words is "two billion, six hundred forty-five million, three hundred nineteen thousand, six hundred eighty".