1992191040 has 504 divisors, whose sum is σ = 8401872960. Its totient is φ = 430811136.

The previous prime is 1992191011. The next prime is 1992191057. The reversal of 1992191040 is 401912991.

1992191040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 1992190986 and 1992191004.

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, 2680909 + ... + 2681651.

Almost surely, 2^1992191040 is an apocalyptic number.

1992191040 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 1992191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200936480).

1992191040 is an abundant number, since it is smaller than the sum of its proper divisors (6409681920).

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

1992191040 is a wasteful number, since it uses less digits than its factorization.

1992191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1992191040 is about 44633.9673343072. The cubic root of 1992191040 is about 1258.2791322453.

The spelling of 1992191040 in words is "one billion, nine hundred ninety-two million, one hundred ninety-one thousand, forty".