2186015040 has 840 divisors, whose sum is σ = 9270726696. Its totient is φ = 486604800.

The previous prime is 2186015021. The next prime is 2186015047. The reversal of 2186015040 is 405106812.

2186015040 is a `hidden beast` number, since 2 + 1 + 8 + 601 + 50 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75898944 + 2110116096 = 8712^2 + 45936^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2186014995 and 2186015013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2186015047) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 53317420 + ... + 53317460.

Almost surely, 2^2186015040 is an apocalyptic number.

2186015040 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 2186015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635363348).

2186015040 is an abundant number, since it is smaller than the sum of its proper divisors (7084711656).

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

2186015040 is a wasteful number, since it uses less digits than its factorization.

2186015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2186015040 is about 46754.8397494848. The cubic root of 2186015040 is about 1297.8297200738.

The spelling of 2186015040 in words is "two billion, one hundred eighty-six million, fifteen thousand, forty".