2251356325640 has 32 divisors (see below), whose sum is σ = 5066665695000. Its totient is φ = 900344492544.

The previous prime is 2251356325607. The next prime is 2251356325649. The reversal of 2251356325640 is 465236531522.

It can be written as a sum of positive squares in 4 ways, for example, as 1363649404516 + 887706921124 = 1167754^2 + 942182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2251356325591 and 2251356325600.

It is not an unprimeable number, because it can be changed into a prime (2251356325649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6004445 + ... + 6368364.

Almost surely, 2^{2251356325640} is an apocalyptic number.

2251356325640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251356325640 is an abundant number, since it is smaller than the sum of its proper divisors (2815309369360).

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

2251356325640 is a wasteful number, since it uses less digits than its factorization.

2251356325640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12377369 (or 12377365 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

The spelling of 2251356325640 in words is "two trillion, two hundred fifty-one billion, three hundred fifty-six million, three hundred twenty-five thousand, six hundred forty".