2968780248 has 480 divisors, whose sum is σ = 10511028000. Its totient is φ = 781861248.

The previous prime is 2968780247. The next prime is 2968780249. The reversal of 2968780248 is 8420878692.

It is an interprime number because it is at equal distance from previous prime (2968780247) and next prime (2968780249).

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

It is a junction number, because it is equal to n+sod(n) for n = 2968780194 and 2968780203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968780247) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 80237286 + ... + 80237322.

It is an arithmetic number, because the mean of its divisors is an integer number (21897975).

Almost surely, 2^2968780248 is an apocalyptic number.

2968780248 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 2968780248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255514000).

2968780248 is an abundant number, since it is smaller than the sum of its proper divisors (7542247752).

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

2968780248 is a wasteful number, since it uses less digits than its factorization.

2968780248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2968780248 is about 54486.5143682361. The cubic root of 2968780248 is about 1437.2291509165.

The spelling of 2968780248 in words is "two billion, nine hundred sixty-eight million, seven hundred eighty thousand, two hundred forty-eight".