1987978752 has 240 divisors, whose sum is σ = 5991997440. Its totient is φ = 634023936.

The previous prime is 1987978747. The next prime is 1987978777. The reversal of 1987978752 is 2578797891.

It is a self number, because there is not a number n which added to its sum of digits gives 1987978752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15653313 + ... + 15653439.

It is an arithmetic number, because the mean of its divisors is an integer number (24966656).

Almost surely, 2^1987978752 is an apocalyptic number.

1987978752 is a gapful number since it is divisible by the number (12) 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 1987978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995998720).

1987978752 is an abundant number, since it is smaller than the sum of its proper divisors (4004018688).

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

1987978752 is a wasteful number, since it uses less digits than its factorization.

1987978752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 63.

The square root of 1987978752 is about 44586.7553428145. The cubic root of 1987978752 is about 1257.3916714912.

The spelling of 1987978752 in words is "one billion, nine hundred eighty-seven million, nine hundred seventy-eight thousand, seven hundred fifty-two".