1968002140 has 192 divisors, whose sum is σ = 4931297280. Its totient is φ = 653184000.

The previous prime is 1968002137. The next prime is 1968002143. The reversal of 1968002140 is 412008691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1968002137) and next prime (1968002143).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968002143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10872850 + ... + 10873030.

It is an arithmetic number, because the mean of its divisors is an integer number (25683840).

Almost surely, 2^1968002140 is an apocalyptic number.

1968002140 is a gapful number since it is divisible by the number (10) 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 1968002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465648640).

1968002140 is an abundant number, since it is smaller than the sum of its proper divisors (2963295140).

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

1968002140 is a wasteful number, since it uses less digits than its factorization.

1968002140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1968002140 is about 44362.1701452938. The cubic root of 1968002140 is about 1253.1657654415.

The spelling of 1968002140 in words is "one billion, nine hundred sixty-eight million, two thousand, one hundred forty".