2245197911040 has 1584 divisors, whose sum is σ = 9548261828352. Its totient is φ = 476924608512.

The previous prime is 2245197911027. The next prime is 2245197911081. The reversal of 2245197911040 is 401197915422.

2245197911040 is a `hidden beast` number, since 2 + 2 + 4 + 519 + 7 + 91 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16388305852 + ... + 16388305988.

Almost surely, 2^{2245197911040} is an apocalyptic number.

2245197911040 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 2245197911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774130914176).

2245197911040 is an abundant number, since it is smaller than the sum of its proper divisors (7303063917312).

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

2245197911040 is a wasteful number, since it uses less digits than its factorization.

2245197911040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2245197911040 in words is "two trillion, two hundred forty-five billion, one hundred ninety-seven million, nine hundred eleven thousand, forty".