2244907923840 has 640 divisors, whose sum is σ = 8432046501120. Its totient is φ = 568378736640.

The previous prime is 2244907923781. The next prime is 2244907923851. The reversal of 2244907923840 is 483297094422.

2244907923840 is a `hidden beast` number, since 2 + 2 + 4 + 490 + 79 + 2 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2244907923840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85159942 + ... + 85186298.

It is an arithmetic number, because the mean of its divisors is an integer number (13175072658).

Almost surely, 2^{2244907923840} is an apocalyptic number.

2244907923840 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 2244907923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216023250560).

2244907923840 is an abundant number, since it is smaller than the sum of its proper divisors (6187138577280).

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

2244907923840 is a wasteful number, since it uses less digits than its factorization.

2244907923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26472 (or 26451 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2244907923840 in words is "two trillion, two hundred forty-four billion, nine hundred seven million, nine hundred twenty-three thousand, eight hundred forty".