2821951440 has 960 divisors, whose sum is σ = 13062021120. Its totient is φ = 543697920.

The previous prime is 2821951417. The next prime is 2821951477. The reversal of 2821951440 is 441591282.

2821951440 is a `hidden beast` number, since 28 + 2 + 195 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2821951395 and 2821951404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60041497 + ... + 60041543.

It is an arithmetic number, because the mean of its divisors is an integer number (13606272).

Almost surely, 2^2821951440 is an apocalyptic number.

2821951440 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 2821951440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531010560).

2821951440 is an abundant number, since it is smaller than the sum of its proper divisors (10240069680).

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

2821951440 is a wasteful number, since it uses less digits than its factorization.

2821951440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2821951440 is about 53122.0428824043. The cubic root of 2821951440 is about 1413.1334568616.

The spelling of 2821951440 in words is "two billion, eight hundred twenty-one million, nine hundred fifty-one thousand, four hundred forty".