2968220736 has 336 divisors, whose sum is σ = 9970455040. Its totient is φ = 836075520.

The previous prime is 2968220719. The next prime is 2968220809. The reversal of 2968220736 is 6370228692.

It is a junction number, because it is equal to n+sod(n) for n = 2968220691 and 2968220700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4410096 + ... + 4410768.

Almost surely, 2^2968220736 is an apocalyptic number.

2968220736 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 2968220736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985227520).

2968220736 is an abundant number, since it is smaller than the sum of its proper divisors (7002234304).

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

2968220736 is a wasteful number, since it uses less digits than its factorization.

2968220736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2968220736 is about 54481.3797182120. The cubic root of 2968220736 is about 1437.1388559791.

The spelling of 2968220736 in words is "two billion, nine hundred sixty-eight million, two hundred twenty thousand, seven hundred thirty-six".