2205156006144 has 360 divisors, whose sum is σ = 8092777640640. Its totient is φ = 581579108352.

The previous prime is 2205156006029. The next prime is 2205156006173. The reversal of 2205156006144 is 4416006515022.

2205156006144 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 1 + 5 + 600 + 6 + 1 + 44 = 666.

It is a super-2 number, since 2×2205156006144² (a number of 25 digits) contains 22 as substring.

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 = 2205156006099 and 2205156006108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1302667 + ... + 2471285.

Almost surely, 2^{2205156006144} is an apocalyptic number.

2205156006144 is a gapful number since it is divisible by the number (24) 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 2205156006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046388820320).

2205156006144 is an abundant number, since it is smaller than the sum of its proper divisors (5887621634496).

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

2205156006144 is a wasteful number, since it uses less digits than its factorization.

2205156006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168667 (or 1168644 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2205156006144 in words is "two trillion, two hundred five billion, one hundred fifty-six million, six thousand, one hundred forty-four".