2032742000 has 40 divisors (see below), whose sum is σ = 4915174992. Its totient is φ = 813096000.

The previous prime is 2032741943. The next prime is 2032742009. The reversal of 2032742000 is 2472302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032742009) 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, 506186 + ... + 510185.

Almost surely, 2^2032742000 is an apocalyptic number.

2032742000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032742000 is an abundant number, since it is smaller than the sum of its proper divisors (2882432992).

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

2032742000 is a wasteful number, since it uses less digits than its factorization.

2032742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016394 (or 1016378 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 2032742000 is about 45085.9401587679. The cubic root of 2032742000 is about 1266.7592576207.

The spelling of 2032742000 in words is "two billion, thirty-two million, seven hundred forty-two thousand".