2805360091632 has 240 divisors, whose sum is σ = 9458053812480. Its totient is φ = 793748979072.

The previous prime is 2805360091621. The next prime is 2805360091663. The reversal of 2805360091632 is 2361900635082.

2805360091632 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 3 + 6 + 0 + 0 + 9 + 1 + 632 = 666.

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, 1536963 + ... + 2823645.

It is an arithmetic number, because the mean of its divisors is an integer number (39408557552).

Almost surely, 2^{2805360091632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2805360091632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729026906240).

2805360091632 is an abundant number, since it is smaller than the sum of its proper divisors (6652693720848).

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

2805360091632 is a wasteful number, since it uses less digits than its factorization.

2805360091632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286817 (or 1286798 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2805360091632 in words is "two trillion, eight hundred five billion, three hundred sixty million, ninety-one thousand, six hundred thirty-two".