1904090240 has 128 divisors (see below), whose sum is σ = 4942365120. Its totient is φ = 697282560.

The previous prime is 1904090233. The next prime is 1904090261. The reversal of 1904090240 is 420904091.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1089047 + ... + 1090793.

Almost surely, 2^1904090240 is an apocalyptic number.

1904090240 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 1904090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471182560).

1904090240 is an abundant number, since it is smaller than the sum of its proper divisors (3038274880).

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

1904090240 is a wasteful number, since it uses less digits than its factorization.

1904090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1904090240 is about 43635.8824821958. The cubic root of 1904090240 is about 1239.4504675638.

It can be divided in two parts, 190 and 4090240, that multiplied together give a triangular number (777145600 = T₃₉₄₂₄).

The spelling of 1904090240 in words is "one billion, nine hundred four million, ninety thousand, two hundred forty".