2206540314300 has 144 divisors (see below), whose sum is σ = 7314491342592. Its totient is φ = 503094144000.

The previous prime is 2206540314281. The next prime is 2206540314301. The reversal of 2206540314300 is 34130456022.

It is a super-2 number, since 2×2206540314300² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206540314301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468042 + ... + 2152241.

It is an arithmetic number, because the mean of its divisors is an integer number (50795078768).

Almost surely, 2^{2206540314300} is an apocalyptic number.

2206540314300 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 2206540314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657245671296).

2206540314300 is an abundant number, since it is smaller than the sum of its proper divisors (5107951028292).

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

2206540314300 is a wasteful number, since it uses less digits than its factorization.

2206540314300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620708 (or 2620701 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 2206540314300 in words is "two trillion, two hundred six billion, five hundred forty million, three hundred fourteen thousand, three hundred".