2305057693440 has 432 divisors, whose sum is σ = 7522067445984. Its totient is φ = 601573294080.

The previous prime is 2305057693409. The next prime is 2305057693441. The reversal of 2305057693440 is 443967505032.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2305057693440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305057693441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5043889692 + ... + 5043890148.

It is an arithmetic number, because the mean of its divisors is an integer number (17412193162).

Almost surely, 2^{2305057693440} is an apocalyptic number.

2305057693440 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 2305057693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761033722992).

2305057693440 is an abundant number, since it is smaller than the sum of its proper divisors (5217009752544).

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

2305057693440 is an equidigital number, since it uses as much as digits as its factorization.

2305057693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 2305057693440 in words is "two trillion, three hundred five billion, fifty-seven million, six hundred ninety-three thousand, four hundred forty".