1940598000 has 560 divisors, whose sum is σ = 7738335072. Its totient is φ = 470448000.

The previous prime is 1940597999. The next prime is 1940598053. The reversal of 1940598000 is 8950491.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 176417995 + ... + 176418005.

Almost surely, 2^1940598000 is an apocalyptic number.

1940598000 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 1940598000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869167536).

1940598000 is an abundant number, since it is smaller than the sum of its proper divisors (5797737072).

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

1940598000 is an frugal number, since it uses more digits than its factorization.

1940598000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1940598000 is about 44052.2190133482. The cubic root of 1940598000 is about 1247.3218393959.

The spelling of 1940598000 in words is "one billion, nine hundred forty million, five hundred ninety-eight thousand".