1833940992 has 96 divisors (see below), whose sum is σ = 5265645840. Its totient is φ = 564264960.

The previous prime is 1833940991. The next prime is 1833940993. The reversal of 1833940992 is 2990493381.

It is an interprime number because it is at equal distance from previous prime (1833940991) and next prime (1833940993).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1833940991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68392 + ... + 91352.

Almost surely, 2^1833940992 is an apocalyptic number.

1833940992 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 1833940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632822920).

1833940992 is an abundant number, since it is smaller than the sum of its proper divisors (3431704848).

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

1833940992 is a wasteful number, since it uses less digits than its factorization.

1833940992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22999 (or 22979 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 1833940992 is about 42824.5372654510. The cubic root of 1833940992 is about 1224.0386164074.

The spelling of 1833940992 in words is "one billion, eight hundred thirty-three million, nine hundred forty thousand, nine hundred ninety-two".