2968920000 has 280 divisors, whose sum is σ = 10910570000. Its totient is φ = 791424000.

The previous prime is 2968919981. The next prime is 2968920007. The reversal of 2968920000 is 298692.

2968920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968920007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1078626 + ... + 1081374.

Almost surely, 2^2968920000 is an apocalyptic number.

2968920000 is a gapful number since it is divisible by the number (20) 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 2968920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455285000).

2968920000 is an abundant number, since it is smaller than the sum of its proper divisors (7941650000).

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

2968920000 is an equidigital number, since it uses as much as digits as its factorization.

2968920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2968920000 is about 54487.7967989164. The cubic root of 2968920000 is about 1437.2517025460.

The spelling of 2968920000 in words is "two billion, nine hundred sixty-eight million, nine hundred twenty thousand".