2968213248 has 810 divisors, whose sum is σ = 12039237672. Its totient is φ = 711659520.

The previous prime is 2968213207. The next prime is 2968213253. The reversal of 2968213248 is 8423128692.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (331776) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 228324090 + ... + 228324102.

Almost surely, 2^2968213248 is an apocalyptic number.

2968213248 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 2968213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019618836).

2968213248 is an abundant number, since it is smaller than the sum of its proper divisors (9071024424).

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

2968213248 is a wasteful number, since it uses less digits than its factorization.

2968213248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 36 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2968213248 is about 54481.3109974420. The cubic root of 2968213248 is about 1437.1376474768.

The spelling of 2968213248 in words is "two billion, nine hundred sixty-eight million, two hundred thirteen thousand, two hundred forty-eight".