2273878332000 has 576 divisors, whose sum is σ = 9129733337088. Its totient is φ = 551240640000.

The previous prime is 2273878331843. The next prime is 2273878332007. The reversal of 2273878332000 is 2338783722.

2273878332000 is a `hidden beast` number, since 227 + 38 + 78 + 3 + 320 + 0 + 0 = 666.

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 (2273878332007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10585665 + ... + 10798335.

It is an arithmetic number, because the mean of its divisors is an integer number (15850231488).

Almost surely, 2^{2273878332000} is an apocalyptic number.

2273878332000 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 2273878332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564866668544).

2273878332000 is an abundant number, since it is smaller than the sum of its proper divisors (6855855005088).

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

2273878332000 is a wasteful number, since it uses less digits than its factorization.

2273878332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212722 (or 212692 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2273878332000 in words is "two trillion, two hundred seventy-three billion, eight hundred seventy-eight million, three hundred thirty-two thousand".