2840398106700 has 432 divisors, whose sum is σ = 10788696979200. Its totient is φ = 569859494400.

The previous prime is 2840398106681. The next prime is 2840398106753. The reversal of 2840398106700 is 76018930482.

It is a super-2 number, since 2×2840398106700² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2840398106700.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4386441 + ... + 4992159.

It is an arithmetic number, because the mean of its divisors is an integer number (24973835600).

Almost surely, 2^{2840398106700} is an apocalyptic number.

2840398106700 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 2840398106700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394348489600).

2840398106700 is an abundant number, since it is smaller than the sum of its proper divisors (7948298872500).

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

2840398106700 is a wasteful number, since it uses less digits than its factorization.

2840398106700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605790 (or 605776 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 2840398106700 in words is "two trillion, eight hundred forty billion, three hundred ninety-eight million, one hundred six thousand, seven hundred".