2252184916540 has 192 divisors, whose sum is σ = 5287981805568. Its totient is φ = 800131737600.

The previous prime is 2252184916493. The next prime is 2252184916561. The reversal of 2252184916540 is 456194812522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1289171947 + ... + 1289173693.

It is an arithmetic number, because the mean of its divisors is an integer number (27541571904).

Almost surely, 2^{2252184916540} is an apocalyptic number.

2252184916540 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 2252184916540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643990902784).

2252184916540 is an abundant number, since it is smaller than the sum of its proper divisors (3035796889028).

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

2252184916540 is a wasteful number, since it uses less digits than its factorization.

2252184916540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 2252184916540 in words is "two trillion, two hundred fifty-two billion, one hundred eighty-four million, nine hundred sixteen thousand, five hundred forty".