2279127551040 has 896 divisors, whose sum is σ = 8474925473280. Its totient is φ = 575984369664.

The previous prime is 2279127551039. The next prime is 2279127551069. The reversal of 2279127551040 is 401557219722.

2279127551040 is a `hidden beast` number, since 2 + 2 + 7 + 9 + 127 + 5 + 510 + 4 + 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 127 ways as a sum of consecutive naturals, for example, 2077599772 + ... + 2077600868.

It is an arithmetic number, because the mean of its divisors is an integer number (9458622180).

Almost surely, 2^{2279127551040} is an apocalyptic number.

2279127551040 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 2279127551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237462736640).

2279127551040 is an abundant number, since it is smaller than the sum of its proper divisors (6195797922240).

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

2279127551040 is a wasteful number, since it uses less digits than its factorization.

2279127551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 2279127551040 in words is "two trillion, two hundred seventy-nine billion, one hundred twenty-seven million, five hundred fifty-one thousand, forty".