2274875457120 has 1536 divisors, whose sum is σ = 10018797465600. Its totient is φ = 470060236800.

The previous prime is 2274875457119. The next prime is 2274875457163. The reversal of 2274875457120 is 217545784722.

2274875457120 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 8 + 7 + 545 + 71 + 20 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4934653690 + ... + 4934654150.

It is an arithmetic number, because the mean of its divisors is an integer number (6522654600).

Almost surely, 2^{2274875457120} is an apocalyptic number.

2274875457120 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 2274875457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009398732800).

2274875457120 is an abundant number, since it is smaller than the sum of its proper divisors (7743922008480).

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

2274875457120 is a wasteful number, since it uses less digits than its factorization.

2274875457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 8780800, while the sum is 54.

The spelling of 2274875457120 in words is "two trillion, two hundred seventy-four billion, eight hundred seventy-five million, four hundred fifty-seven thousand, one hundred twenty".