2816789976 has 768 divisors, whose sum is σ = 11510553600. Its totient is φ = 602173440.

The previous prime is 2816789971. The next prime is 2816790001. The reversal of 2816789976 is 6799876182.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (18289152) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816789971) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148252095 + ... + 148252113.

It is an arithmetic number, because the mean of its divisors is an integer number (14987700).

Almost surely, 2^2816789976 is an apocalyptic number.

2816789976 is a gapful number since it is divisible by the number (26) 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 2816789976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755276800).

2816789976 is an abundant number, since it is smaller than the sum of its proper divisors (8693763624).

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

2816789976 is a wasteful number, since it uses less digits than its factorization.

2816789976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The square root of 2816789976 is about 53073.4394589233. The cubic root of 2816789976 is about 1412.2713715218.

The spelling of 2816789976 in words is "two billion, eight hundred sixteen million, seven hundred eighty-nine thousand, nine hundred seventy-six".