1974282240 has 192 divisors, whose sum is σ = 7219255680. Its totient is φ = 451215360.

The previous prime is 1974282227. The next prime is 1974282253. The reversal of 1974282240 is 422824791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1974282227) and next prime (1974282253).

It is a tau number, because it is divible by the number of its divisors (192).

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, 210450 + ... + 219630.

It is an arithmetic number, because the mean of its divisors is an integer number (37600290).

Almost surely, 2^1974282240 is an apocalyptic number.

1974282240 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 1974282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609627840).

1974282240 is an abundant number, since it is smaller than the sum of its proper divisors (5244973440).

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

1974282240 is an equidigital number, since it uses as much as digits as its factorization.

1974282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218 (or 9198 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1974282240 is about 44432.8959218280. The cubic root of 1974282240 is about 1254.4973442435.

The spelling of 1974282240 in words is "one billion, nine hundred seventy-four million, two hundred eighty-two thousand, two hundred forty".