20149536240 has 320 divisors, whose sum is σ = 72303943680. Its totient is φ = 5151928320.

The previous prime is 20149536227. The next prime is 20149536283. The reversal of 20149536240 is 4263594102.

It is a happy number.

20149536240 is a `hidden beast` number, since 20 + 1 + 4 + 9 + 5 + 3 + 624 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 20149536195 and 20149536204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7565149 + ... + 7567811.

It is an arithmetic number, because the mean of its divisors is an integer number (225949824).

Almost surely, 2^20149536240 is an apocalyptic number.

20149536240 is a gapful number since it is divisible by the number (20) 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 20149536240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36151971840).

20149536240 is an abundant number, since it is smaller than the sum of its proper divisors (52154407440).

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

20149536240 is a wasteful number, since it uses less digits than its factorization.

20149536240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20149536240 in words is "twenty billion, one hundred forty-nine million, five hundred thirty-six thousand, two hundred forty".