2826351220 has 192 divisors, whose sum is σ = 7752794112. Its totient is φ = 839808000.

The previous prime is 2826351211. The next prime is 2826351221. The reversal of 2826351220 is 221536282.

2826351220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2826351220² = 15976522437590976800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826351221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3484615 + ... + 3485425.

It is an arithmetic number, because the mean of its divisors is an integer number (40379136).

Almost surely, 2^2826351220 is an apocalyptic number.

2826351220 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 2826351220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876397056).

2826351220 is an abundant number, since it is smaller than the sum of its proper divisors (4926442892).

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

2826351220 is a wasteful number, since it uses less digits than its factorization.

2826351220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2826351220 is about 53163.4387525863. The cubic root of 2826351220 is about 1413.8674935700.

The spelling of 2826351220 in words is "two billion, eight hundred twenty-six million, three hundred fifty-one thousand, two hundred twenty".