1942302240 has 240 divisors, whose sum is σ = 6951993048. Its totient is φ = 510603264.

The previous prime is 1942302223. The next prime is 1942302247. The reversal of 1942302240 is 422032491.

1942302240 is a `hidden beast` number, since 19 + 423 + 0 + 224 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1617004944 + 325297296 = 40212^2 + 18036^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1942302247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 945054 + ... + 947106.

Almost surely, 2^1942302240 is an apocalyptic number.

1942302240 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 1942302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475996524).

1942302240 is an abundant number, since it is smaller than the sum of its proper divisors (5009690808).

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

1942302240 is a wasteful number, since it uses less digits than its factorization.

1942302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1942302240 is about 44071.5581753130. The cubic root of 1942302240 is about 1247.6868667052.

The spelling of 1942302240 in words is "one billion, nine hundred forty-two million, three hundred two thousand, two hundred forty".