2991968064 has 224 divisors, whose sum is σ = 9299082240. Its totient is φ = 941428224.

The previous prime is 2991968053. The next prime is 2991968099. The reversal of 2991968064 is 4608691992.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2991968064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3298299 + ... + 3299205.

It is an arithmetic number, because the mean of its divisors is an integer number (41513760).

Almost surely, 2^2991968064 is an apocalyptic number.

2991968064 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 2991968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649541120).

2991968064 is an abundant number, since it is smaller than the sum of its proper divisors (6307114176).

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

2991968064 is a wasteful number, since it uses less digits than its factorization.

2991968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2991968064 is about 54698.8853999787. The cubic root of 2991968064 is about 1440.9613025637.

The spelling of 2991968064 in words is "two billion, nine hundred ninety-one million, nine hundred sixty-eight thousand, sixty-four".