2250212513540 has 72 divisors (see below), whose sum is σ = 4864227350472. Its totient is φ = 874385326080.

The previous prime is 2250212513509. The next prime is 2250212513551. The reversal of 2250212513540 is 453152120522.

It can be written as a sum of positive squares in 12 ways, for example, as 714576046276 + 1535636467264 = 845326^2 + 1239208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2250212513497 and 2250212513506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17486474 + ... + 17614686.

It is an arithmetic number, because the mean of its divisors is an integer number (67558713201).

Almost surely, 2^{2250212513540} is an apocalyptic number.

2250212513540 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 2250212513540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432113675236).

2250212513540 is an abundant number, since it is smaller than the sum of its proper divisors (2614014836932).

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

2250212513540 is a wasteful number, since it uses less digits than its factorization.

2250212513540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128937 (or 128898 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 2250212513540 in words is "two trillion, two hundred fifty billion, two hundred twelve million, five hundred thirteen thousand, five hundred forty".