1940253504 has 168 divisors, whose sum is σ = 6135380160. Its totient is φ = 530061312.

The previous prime is 1940253499. The next prime is 1940253517. The reversal of 1940253504 is 4053520491.

1940253504 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709612 + ... + 712340.

It is an arithmetic number, because the mean of its divisors is an integer number (36520120).

Almost surely, 2^1940253504 is an apocalyptic number.

1940253504 is a gapful number since it is divisible by the number (14) 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 1940253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067690080).

1940253504 is an abundant number, since it is smaller than the sum of its proper divisors (4195126656).

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

1940253504 is a wasteful number, since it uses less digits than its factorization.

1940253504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1940253504 is about 44048.3087530044. The cubic root of 1940253504 is about 1247.2480266135.

Adding to 1940253504 its reverse (4053520491), we get a palindrome (5993773995).

The spelling of 1940253504 in words is "one billion, nine hundred forty million, two hundred fifty-three thousand, five hundred four".