2912292768 has 384 divisors, whose sum is σ = 10032906240. Its totient is φ = 717696000.

The previous prime is 2912292767. The next prime is 2912292769. The reversal of 2912292768 is 8672922192.

It is an interprime number because it is at equal distance from previous prime (2912292767) and next prime (2912292769).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2912292767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16269703 + ... + 16269881.

It is an arithmetic number, because the mean of its divisors is an integer number (26127360).

Almost surely, 2^2912292768 is an apocalyptic number.

2912292768 is a gapful number since it is divisible by the number (28) 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 2912292768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016453120).

2912292768 is an abundant number, since it is smaller than the sum of its proper divisors (7120613472).

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

2912292768 is a wasteful number, since it uses less digits than its factorization.

2912292768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 2912292768 is about 53965.6628607488. The cubic root of 2912292768 is about 1428.0552513362.

The spelling of 2912292768 in words is "two billion, nine hundred twelve million, two hundred ninety-two thousand, seven hundred sixty-eight".