1642732240 has 80 divisors (see below), whose sum is σ = 3937248000. Its totient is φ = 637015040.

The previous prime is 1642732237. The next prime is 1642732283. The reversal of 1642732240 is 422372461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546261 + ... + 549259.

It is an arithmetic number, because the mean of its divisors is an integer number (49215600).

Almost surely, 2^1642732240 is an apocalyptic number.

1642732240 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 1642732240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968624000).

1642732240 is an abundant number, since it is smaller than the sum of its proper divisors (2294515760).

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

1642732240 is a wasteful number, since it uses less digits than its factorization.

1642732240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 1642732240 is about 40530.6333530578. The cubic root of 1642732240 is about 1179.9282346472.

The spelling of 1642732240 in words is "one billion, six hundred forty-two million, seven hundred thirty-two thousand, two hundred forty".