2646641340 has 144 divisors (see below), whose sum is σ = 9202152960. Its totient is φ = 603158400.

The previous prime is 2646641329. The next prime is 2646641363. The reversal of 2646641340 is 431466462.

2646641340 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 641 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2646641295 and 2646641304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449415 + ... + 455265.

It is an arithmetic number, because the mean of its divisors is an integer number (63903840).

Almost surely, 2^2646641340 is an apocalyptic number.

2646641340 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 2646641340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601076480).

2646641340 is an abundant number, since it is smaller than the sum of its proper divisors (6555511620).

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

2646641340 is a wasteful number, since it uses less digits than its factorization.

2646641340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2646641340 is about 51445.5181721401. The cubic root of 2646641340 is about 1383.2426267841.

The spelling of 2646641340 in words is "two billion, six hundred forty-six million, six hundred forty-one thousand, three hundred forty".