2213374775040 has 1728 divisors, whose sum is σ = 9488592046080. Its totient is φ = 484100997120.

The previous prime is 2213374774999. The next prime is 2213374775041. The reversal of 2213374775040 is 405774733122.

2213374775040 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 74 + 77 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213374775041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3019610514 + ... + 3019611246.

It is an arithmetic number, because the mean of its divisors is an integer number (5491083360).

Almost surely, 2^{2213374775040} is an apocalyptic number.

2213374775040 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 2213374775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744296023040).

2213374775040 is an abundant number, since it is smaller than the sum of its proper divisors (7275217271040).

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

2213374775040 is a wasteful number, since it uses less digits than its factorization.

2213374775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 2213374775040 in words is "two trillion, two hundred thirteen billion, three hundred seventy-four million, seven hundred seventy-five thousand, forty".