1904940000 has 360 divisors, whose sum is σ = 7138371240. Its totient is φ = 480384000.

The previous prime is 1904939983. The next prime is 1904940007. The reversal of 1904940000 is 494091.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904940007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3419722 + ... + 3420278.

It is an arithmetic number, because the mean of its divisors is an integer number (19828809).

Almost surely, 2^1904940000 is an apocalyptic number.

1904940000 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 1904940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569185620).

1904940000 is an abundant number, since it is smaller than the sum of its proper divisors (5233431240).

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

1904940000 is a wasteful number, since it uses less digits than its factorization.

1904940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1904940000 is about 43645.6183367815. The cubic root of 1904940000 is about 1239.6348213594.

It can be divided in two parts, 19049 and 40000, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 1904940000 in words is "one billion, nine hundred four million, nine hundred forty thousand".