2205794157840 has 3200 divisors, whose sum is σ = 10827596989440. Its totient is φ = 402462867456.

The previous prime is 2205794157811. The next prime is 2205794157863. The reversal of 2205794157840 is 487514975022.

2205794157840 is a `hidden beast` number, since 2 + 20 + 5 + 7 + 9 + 4 + 1 + 578 + 40 = 666.

It is a super-2 number, since 2×2205794157840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 7047265524 + ... + 7047265836.

Almost surely, 2^{2205794157840} is an apocalyptic number.

2205794157840 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 2205794157840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413798494720).

2205794157840 is an abundant number, since it is smaller than the sum of its proper divisors (8621802831600).

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

2205794157840 is a wasteful number, since it uses less digits than its factorization.

2205794157840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 2205794157840 in words is "two trillion, two hundred five billion, seven hundred ninety-four million, one hundred fifty-seven thousand, eight hundred forty".