2031619968 has 576 divisors, whose sum is σ = 7449361920. Its totient is φ = 548674560.

The previous prime is 2031619921. The next prime is 2031620081. The reversal of 2031619968 is 8699161302.

It is a happy number.

2031619968 is a `hidden beast` number, since 20 + 3 + 1 + 619 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47246955 + ... + 47246997.

It is an arithmetic number, because the mean of its divisors is an integer number (12932920).

Almost surely, 2^2031619968 is an apocalyptic number.

2031619968 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 2031619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724680960).

2031619968 is an abundant number, since it is smaller than the sum of its proper divisors (5417741952).

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

2031619968 is an equidigital number, since it uses as much as digits as its factorization.

2031619968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2031619968 is about 45073.4951828677. The cubic root of 2031619968 is about 1266.5261396579.

The spelling of 2031619968 in words is "two billion, thirty-one million, six hundred nineteen thousand, nine hundred sixty-eight".