2247626502240 has 384 divisors, whose sum is σ = 8128488775680. Its totient is φ = 511397756928.

The previous prime is 2247626502217. The next prime is 2247626502287. The reversal of 2247626502240 is 422056267422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2247626502192 and 2247626502201.

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, 793371864 + ... + 793374696.

It is an arithmetic number, because the mean of its divisors is an integer number (21167939520).

Almost surely, 2^{2247626502240} is an apocalyptic number.

2247626502240 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 2247626502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064244387840).

2247626502240 is an abundant number, since it is smaller than the sum of its proper divisors (5880862273440).

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

2247626502240 is a wasteful number, since it uses less digits than its factorization.

2247626502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 2247626502240 in words is "two trillion, two hundred forty-seven billion, six hundred twenty-six million, five hundred two thousand, two hundred forty".