2829805440 has 256 divisors, whose sum is σ = 11246307840. Its totient is φ = 587980800.

The previous prime is 2829805439. The next prime is 2829805477. The reversal of 2829805440 is 445089282.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2829805392 and 2829805401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138270 + ... + 157410.

It is an arithmetic number, because the mean of its divisors is an integer number (43930890).

Almost surely, 2^2829805440 is an apocalyptic number.

2829805440 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 2829805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623153920).

2829805440 is an abundant number, since it is smaller than the sum of its proper divisors (8416502400).

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

2829805440 is a wasteful number, since it uses less digits than its factorization.

2829805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19181 (or 19169 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2829805440 is about 53195.9156326874. The cubic root of 2829805440 is about 1414.4432442775.

It can be divided in two parts, 282980 and 5440, that added together give a triangular number (288420 = T₇₅₉).

The spelling of 2829805440 in words is "two billion, eight hundred twenty-nine million, eight hundred five thousand, four hundred forty".