2275374366720 has 1536 divisors, whose sum is σ = 10039601295360. Its totient is φ = 463743221760.

The previous prime is 2275374366703. The next prime is 2275374366767. The reversal of 2275374366720 is 276634735722.

2275374366720 is a `hidden beast` number, since 2 + 2 + 7 + 537 + 4 + 36 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4159733487 + ... + 4159734033.

It is an arithmetic number, because the mean of its divisors is an integer number (6536198760).

Almost surely, 2^{2275374366720} is an apocalyptic number.

2275374366720 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 2275374366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019800647680).

2275374366720 is an abundant number, since it is smaller than the sum of its proper divisors (7764226928640).

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

2275374366720 is a wasteful number, since it uses less digits than its factorization.

2275374366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 54.

The spelling of 2275374366720 in words is "two trillion, two hundred seventy-five billion, three hundred seventy-four million, three hundred sixty-six thousand, seven hundred twenty".