20487252240 has 960 divisors, whose sum is σ = 90478542336. Its totient is φ = 4192321536.

The previous prime is 20487252209. The next prime is 20487252271. The reversal of 20487252240 is 4225278402.

20487252240 is a `hidden beast` number, since 20 + 4 + 8 + 72 + 522 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (20487252209) and next prime (20487252271).

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 = 20487252195 and 20487252204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65454324 + ... + 65454636.

Almost surely, 2^20487252240 is an apocalyptic number.

20487252240 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 20487252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45239271168).

20487252240 is an abundant number, since it is smaller than the sum of its proper divisors (69991290096).

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

20487252240 is a wasteful number, since it uses less digits than its factorization.

20487252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 20487252240 in words is "twenty billion, four hundred eighty-seven million, two hundred fifty-two thousand, two hundred forty".