1973032992 has 240 divisors, whose sum is σ = 6813132480. Its totient is φ = 548301312.

The previous prime is 1973032981. The next prime is 1973033003. The reversal of 1973032992 is 2992303791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1973032981) and next prime (1973033003).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 669859 + ... + 672797.

It is an arithmetic number, because the mean of its divisors is an integer number (28388052).

Almost surely, 2^1973032992 is an apocalyptic number.

1973032992 is a gapful number since it is divisible by the number (12) 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 1973032992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406566240).

1973032992 is an abundant number, since it is smaller than the sum of its proper divisors (4840099488).

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

1973032992 is a wasteful number, since it uses less digits than its factorization.

1973032992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 1973032992 is about 44418.8360045600. The cubic root of 1973032992 is about 1254.2326895870.

The spelling of 1973032992 in words is "one billion, nine hundred seventy-three million, thirty-two thousand, nine hundred ninety-two".