2826405120 has 576 divisors, whose sum is σ = 11490877440. Its totient is φ = 579870720.

The previous prime is 2826405079. The next prime is 2826405187. The reversal of 2826405120 is 215046282.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35777241 + ... + 35777319.

It is an arithmetic number, because the mean of its divisors is an integer number (19949440).

Almost surely, 2^2826405120 is an apocalyptic number.

2826405120 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 2826405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745438720).

2826405120 is an abundant number, since it is smaller than the sum of its proper divisors (8664472320).

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

2826405120 is an equidigital number, since it uses as much as digits as its factorization.

2826405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2826405120 is about 53163.9456774984. The cubic root of 2826405120 is about 1413.8764812444.

The spelling of 2826405120 in words is "two billion, eight hundred twenty-six million, four hundred five thousand, one hundred twenty".