1940484672 has 252 divisors, whose sum is σ = 6521615100. Its totient is φ = 550029312.

The previous prime is 1940484641. The next prime is 1940484673. The reversal of 1940484672 is 2764840491.

It can be written as a sum of positive squares in 2 ways, for example, as 1721918016 + 218566656 = 41496^2 + 14784^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1940484673) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5559954 + ... + 5560302.

It is an arithmetic number, because the mean of its divisors is an integer number (25879425).

Almost surely, 2^1940484672 is an apocalyptic number.

1940484672 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 1940484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260807550).

1940484672 is an abundant number, since it is smaller than the sum of its proper divisors (4581130428).

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

1940484672 is a wasteful number, since it uses less digits than its factorization.

1940484672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1940484672 is about 44050.9327029519. The cubic root of 1940484672 is about 1247.2975583511.

The spelling of 1940484672 in words is "one billion, nine hundred forty million, four hundred eighty-four thousand, six hundred seventy-two".