2252006505012 has 96 divisors (see below), whose sum is σ = 5911741148544. Its totient is φ = 661226803200.

The previous prime is 2252006504963. The next prime is 2252006505019. The reversal of 2252006505012 is 2105056002522.

It is a super-2 number, since 2×2252006505012² (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 (2252006505019) 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, 220408 + ... + 2133680.

It is an arithmetic number, because the mean of its divisors is an integer number (61580636964).

Almost surely, 2^{2252006505012} is an apocalyptic number.

2252006505012 is a gapful number since it is divisible by the number (22) 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 2252006505012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955870574272).

2252006505012 is an abundant number, since it is smaller than the sum of its proper divisors (3659734643532).

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

2252006505012 is a wasteful number, since it uses less digits than its factorization.

2252006505012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913569 (or 1913567 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 2252006505012 in words is "two trillion, two hundred fifty-two billion, six million, five hundred five thousand, twelve".