2812330765440 has 1024 divisors, whose sum is σ = 11675702707200. Its totient is φ = 626499256320.

The previous prime is 2812330765411. The next prime is 2812330765457. The reversal of 2812330765440 is 445670332182.

2812330765440 is a `hidden beast` number, since 2 + 8 + 1 + 2 + 3 + 30 + 76 + 544 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 833775594 + ... + 833778966.

It is an arithmetic number, because the mean of its divisors is an integer number (11402053425).

Almost surely, 2^{2812330765440} is an apocalyptic number.

2812330765440 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 2812330765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837851353600).

2812330765440 is an abundant number, since it is smaller than the sum of its proper divisors (8863371941760).

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

2812330765440 is a wasteful number, since it uses less digits than its factorization.

2812330765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2812330765440 in words is "two trillion, eight hundred twelve billion, three hundred thirty million, seven hundred sixty-five thousand, four hundred forty".