2820495744 has 192 divisors, whose sum is σ = 8978346000. Its totient is φ = 842711040.

The previous prime is 2820495731. The next prime is 2820495757. The reversal of 2820495744 is 4475940282.

It is an interprime number because it is at equal distance from previous prime (2820495731) and next prime (2820495757).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2820495744² = 15910392483844227072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2820495744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923532 + ... + 926580.

Almost surely, 2^2820495744 is an apocalyptic number.

2820495744 is a gapful number since it is divisible by the number (24) 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 2820495744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489173000).

2820495744 is an abundant number, since it is smaller than the sum of its proper divisors (6157850256).

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

2820495744 is a wasteful number, since it uses less digits than its factorization.

2820495744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2820495744 is about 53108.3396840835. The cubic root of 2820495744 is about 1412.8904280473.

The spelling of 2820495744 in words is "two billion, eight hundred twenty million, four hundred ninety-five thousand, seven hundred forty-four".