20145540240 has 320 divisors, whose sum is σ = 81239800320. Its totient is φ = 4492247040.

The previous prime is 20145540223. The next prime is 20145540253. The reversal of 20145540240 is 4204554102.

20145540240 is a `hidden beast` number, since 201 + 4 + 55 + 402 + 4 + 0 = 666.

It is a super-2 number, since 2×20145540240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 603672 + ... + 636168.

It is an arithmetic number, because the mean of its divisors is an integer number (253874376).

Almost surely, 2^20145540240 is an apocalyptic number.

20145540240 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 20145540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40619900160).

20145540240 is an abundant number, since it is smaller than the sum of its proper divisors (61094260080).

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

20145540240 is a wasteful number, since it uses less digits than its factorization.

20145540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32567 (or 32555 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 20145540240 in words is "twenty billion, one hundred forty-five million, five hundred forty thousand, two hundred forty".