2968245000 has 480 divisors, whose sum is σ = 11939928000. Its totient is φ = 676512000.

The previous prime is 2968244971. The next prime is 2968245011. The reversal of 2968245000 is 5428692.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8504826 + ... + 8505174.

It is an arithmetic number, because the mean of its divisors is an integer number (24874850).

Almost surely, 2^2968245000 is an apocalyptic number.

2968245000 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 2968245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969964000).

2968245000 is an abundant number, since it is smaller than the sum of its proper divisors (8971683000).

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

2968245000 is an equidigital number, since it uses as much as digits as its factorization.

2968245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2968245000 is about 54481.6023993421. The cubic root of 2968245000 is about 1437.1427719774.

The spelling of 2968245000 in words is "two billion, nine hundred sixty-eight million, two hundred forty-five thousand".