1905984240 has 320 divisors, whose sum is σ = 6878131200. Its totient is φ = 433078272.

The previous prime is 1905984233. The next prime is 1905984247. The reversal of 1905984240 is 424895091.

It is an interprime number because it is at equal distance from previous prime (1905984233) and next prime (1905984247).

It is a junction number, because it is equal to n+sod(n) for n = 1905984192 and 1905984201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1905984247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1782426 + ... + 1783494.

It is an arithmetic number, because the mean of its divisors is an integer number (21494160).

Almost surely, 2^1905984240 is an apocalyptic number.

1905984240 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 1905984240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439065600).

1905984240 is an abundant number, since it is smaller than the sum of its proper divisors (4972146960).

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

1905984240 is a wasteful number, since it uses less digits than its factorization.

1905984240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1905984240 is about 43657.5794106819. The cubic root of 1905984240 is about 1239.8612921502.

The spelling of 1905984240 in words is "one billion, nine hundred five million, nine hundred eighty-four thousand, two hundred forty".