2723435222640 has 640 divisors, whose sum is σ = 9918625167360. Its totient is φ = 610851225600.

The previous prime is 2723435222621. The next prime is 2723435222659. The reversal of 2723435222640 is 462225343272.

It is an interprime number because it is at equal distance from previous prime (2723435222621) and next prime (2723435222659).

It is a junction number, because it is equal to n+sod(n) for n = 2723435222592 and 2723435222601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 722970037 + ... + 722973803.

It is an arithmetic number, because the mean of its divisors is an integer number (15497851824).

Almost surely, 2^{2723435222640} is an apocalyptic number.

2723435222640 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 2723435222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959312583680).

2723435222640 is an abundant number, since it is smaller than the sum of its proper divisors (7195189944720).

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

2723435222640 is a wasteful number, since it uses less digits than its factorization.

2723435222640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 2723435222640 in words is "two trillion, seven hundred twenty-three billion, four hundred thirty-five million, two hundred twenty-two thousand, six hundred forty".