1986752040 has 512 divisors, whose sum is σ = 7741440000. Its totient is φ = 405070848.

The previous prime is 1986752023. The next prime is 1986752041. The reversal of 1986752040 is 402576891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1986751983 and 1986752001.

It is not an unprimeable number, because it can be changed into a prime (1986752041) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 25148721 + ... + 25148799.

It is an arithmetic number, because the mean of its divisors is an integer number (15120000).

Almost surely, 2^1986752040 is an apocalyptic number.

1986752040 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 1986752040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720000).

1986752040 is an abundant number, since it is smaller than the sum of its proper divisors (5754687960).

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

1986752040 is a wasteful number, since it uses less digits than its factorization.

1986752040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1986752040 is about 44572.9967581270. The cubic root of 1986752040 is about 1257.1329875012.

The spelling of 1986752040 in words is "one billion, nine hundred eighty-six million, seven hundred fifty-two thousand, forty".