2968011648 has 384 divisors, whose sum is σ = 10265149440. Its totient is φ = 805478400.

The previous prime is 2968011643. The next prime is 2968011659. The reversal of 2968011648 is 8461108692.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968011643) 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 47 ways as a sum of consecutive naturals, for example, 15539233 + ... + 15539423.

It is an arithmetic number, because the mean of its divisors is an integer number (26732160).

Almost surely, 2^2968011648 is an apocalyptic number.

2968011648 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 2968011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132574720).

2968011648 is an abundant number, since it is smaller than the sum of its proper divisors (7297137792).

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

2968011648 is a wasteful number, since it uses less digits than its factorization.

2968011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2968011648 is about 54479.4607902832. The cubic root of 2968011648 is about 1437.1051101123.

It can be divided in two parts, 29680 and 11648, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 2968011648 in words is "two billion, nine hundred sixty-eight million, eleven thousand, six hundred forty-eight".