2279860007040 has 1920 divisors, whose sum is σ = 10329543100800. Its totient is φ = 469038366720.

The previous prime is 2279860007039. The next prime is 2279860007041. The reversal of 2279860007040 is 407000689722.

It is an interprime number because it is at equal distance from previous prime (2279860007039) and next prime (2279860007041).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (2279860007041) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 6015461571 + ... + 6015461949.

It is an arithmetic number, because the mean of its divisors is an integer number (5379970365).

Almost surely, 2^{2279860007040} is an apocalyptic number.

2279860007040 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 2279860007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164771550400).

2279860007040 is an abundant number, since it is smaller than the sum of its proper divisors (8049683093760).

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

2279860007040 is a wasteful number, since it uses less digits than its factorization.

2279860007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2279860007040 in words is "two trillion, two hundred seventy-nine billion, eight hundred sixty million, seven thousand, forty".