2992776336 has 480 divisors, whose sum is σ = 10399334400. Its totient is φ = 823011840.

The previous prime is 2992776331. The next prime is 2992776341. The reversal of 2992776336 is 6336772992.

It is an interprime number because it is at equal distance from previous prime (2992776331) and next prime (2992776341).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2992776331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23565105 + ... + 23565231.

It is an arithmetic number, because the mean of its divisors is an integer number (21665280).

Almost surely, 2^2992776336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992776336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199667200).

2992776336 is an abundant number, since it is smaller than the sum of its proper divisors (7406558064).

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

2992776336 is a wasteful number, since it uses less digits than its factorization.

2992776336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 2992776336 is about 54706.2732782996. The cubic root of 2992776336 is about 1441.0910481343.

The spelling of 2992776336 in words is "two billion, nine hundred ninety-two million, seven hundred seventy-six thousand, three hundred thirty-six".