2279977943040 has 1280 divisors, whose sum is σ = 9473051744640. Its totient is φ = 515978035200.

The previous prime is 2279977943021. The next prime is 2279977943041. The reversal of 2279977943040 is 403497799722.

2279977943040 is a `hidden beast` number, since 2 + 2 + 7 + 9 + 97 + 79 + 430 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2279977943041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22574038990 + ... + 22574039090.

Almost surely, 2^{2279977943040} is an apocalyptic number.

2279977943040 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 2279977943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736525872320).

2279977943040 is an abundant number, since it is smaller than the sum of its proper divisors (7193073801600).

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

2279977943040 is an frugal number, since it uses more digits than its factorization.

2279977943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 2279977943040 in words is "two trillion, two hundred seventy-nine billion, nine hundred seventy-seven million, nine hundred forty-three thousand, forty".