2819795742720 has 1040 divisors, whose sum is σ = 11299141133280. Its totient is φ = 666737049600.

The previous prime is 2819795742703. The next prime is 2819795742739. The reversal of 2819795742720 is 272475979182.

2819795742720 is a `hidden beast` number, since 2 + 8 + 19 + 7 + 9 + 574 + 27 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 748152996 + ... + 748156764.

It is an arithmetic number, because the mean of its divisors is an integer number (10864558782).

Almost surely, 2^{2819795742720} is an apocalyptic number.

2819795742720 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 2819795742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649570566640).

2819795742720 is an abundant number, since it is smaller than the sum of its proper divisors (8479345390560).

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

2819795742720 is a wasteful number, since it uses less digits than its factorization.

2819795742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 2819795742720 in words is "two trillion, eight hundred nineteen billion, seven hundred ninety-five million, seven hundred forty-two thousand, seven hundred twenty".