1987302240 has 288 divisors, whose sum is σ = 8455539456. Its totient is φ = 412922880.

The previous prime is 1987302217. The next prime is 1987302253. The reversal of 1987302240 is 422037891.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1987302195 and 1987302204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101919 + ... + 119841.

It is an arithmetic number, because the mean of its divisors is an integer number (29359512).

Almost surely, 2^1987302240 is an apocalyptic number.

1987302240 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 1987302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227769728).

1987302240 is an abundant number, since it is smaller than the sum of its proper divisors (6468237216).

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

1987302240 is a wasteful number, since it uses less digits than its factorization.

1987302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17962 (or 17951 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1987302240 is about 44579.1682291180. The cubic root of 1987302240 is about 1257.2490245835.

The spelling of 1987302240 in words is "one billion, nine hundred eighty-seven million, three hundred two thousand, two hundred forty".