2812292064720 has 400 divisors, whose sum is σ = 10003298355072. Its totient is φ = 731870899200.

The previous prime is 2812292064697. The next prime is 2812292064727. The reversal of 2812292064720 is 274602922182.

2812292064720 is a `hidden beast` number, since 281 + 2 + 292 + 0 + 64 + 7 + 20 = 666.

2812292064720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2812292064727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 382569045 + ... + 382576395.

Almost surely, 2^{2812292064720} is an apocalyptic number.

2812292064720 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 2812292064720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001649177536).

2812292064720 is an abundant number, since it is smaller than the sum of its proper divisors (7191006290352).

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

2812292064720 is a wasteful number, since it uses less digits than its factorization.

2812292064720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792 (or 8777 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2812292064720 in words is "two trillion, eight hundred twelve billion, two hundred ninety-two million, sixty-four thousand, seven hundred twenty".