2254213451220 has 96 divisors (see below), whose sum is σ = 6352961328000. Its totient is φ = 597204401664.

The previous prime is 2254213451179. The next prime is 2254213451221. The reversal of 2254213451220 is 221543124522.

2254213451220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2254213451220² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254213451221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81930826 + ... + 81958334.

It is an arithmetic number, because the mean of its divisors is an integer number (66176680500).

Almost surely, 2^{2254213451220} is an apocalyptic number.

2254213451220 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 2254213451220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176480664000).

2254213451220 is an abundant number, since it is smaller than the sum of its proper divisors (4098747876780).

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

2254213451220 is a wasteful number, since it uses less digits than its factorization.

2254213451220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36377 (or 36375 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 2254213451220 its reverse (221543124522), we get a palindrome (2475756575742).

The spelling of 2254213451220 in words is "two trillion, two hundred fifty-four billion, two hundred thirteen million, four hundred fifty-one thousand, two hundred twenty".