2296377729264 has 320 divisors, whose sum is σ = 6518348513280. Its totient is φ = 694442833920.

The previous prime is 2296377729257. The next prime is 2296377729301. The reversal of 2296377729264 is 4629277736922.

It is a junction number, because it is equal to n+sod(n) for n = 2296377729195 and 2296377729204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407228557 + ... + 407234195.

It is an arithmetic number, because the mean of its divisors is an integer number (20369839104).

Almost surely, 2^{2296377729264} is an apocalyptic number.

2296377729264 is a gapful number since it is divisible by the number (24) 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 2296377729264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259174256640).

2296377729264 is an abundant number, since it is smaller than the sum of its proper divisors (4221970784016).

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

2296377729264 is a wasteful number, since it uses less digits than its factorization.

2296377729264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940 (or 5934 counting only the distinct ones).

The product of its digits is 192036096, while the sum is 66.

The spelling of 2296377729264 in words is "two trillion, two hundred ninety-six billion, three hundred seventy-seven million, seven hundred twenty-nine thousand, two hundred sixty-four".