2845628907264 has 2304 divisors, whose sum is σ = 10965687828480. Its totient is φ = 715309056000.

The previous prime is 2845628907229. The next prime is 2845628907299. The reversal of 2845628907264 is 4627098265482.

2845628907264 is a `hidden beast` number, since 2 + 8 + 4 + 562 + 8 + 9 + 0 + 7 + 2 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2845628907229) and next prime (2845628907299).

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 40079280349 + ... + 40079280419.

It is an arithmetic number, because the mean of its divisors is an integer number (4759413120).

Almost surely, 2^{2845628907264} is an apocalyptic number.

2845628907264 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 2845628907264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482843914240).

2845628907264 is an abundant number, since it is smaller than the sum of its proper divisors (8120058921216).

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

2845628907264 is a wasteful number, since it uses less digits than its factorization.

2845628907264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2845628907264 in words is "two trillion, eight hundred forty-five billion, six hundred twenty-eight million, nine hundred seven thousand, two hundred sixty-four".