2229839015040 has 3072 divisors, whose sum is σ = 10538886758400. Its totient is φ = 421382062080.

The previous prime is 2229839015029. The next prime is 2229839015161. The reversal of 2229839015040 is 405109389222.

2229839015040 is a `hidden beast` number, since 2 + 22 + 98 + 39 + 0 + 1 + 504 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17557787457 + ... + 17557787583.

It is an arithmetic number, because the mean of its divisors is an integer number (3430627200).

Almost surely, 2^{2229839015040} is an apocalyptic number.

2229839015040 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 2229839015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269443379200).

2229839015040 is an abundant number, since it is smaller than the sum of its proper divisors (8309047743360).

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

2229839015040 is a wasteful number, since it uses less digits than its factorization.

2229839015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2229839015040 in words is "two trillion, two hundred twenty-nine billion, eight hundred thirty-nine million, fifteen thousand, forty".