2845106400 has 288 divisors, whose sum is σ = 9896554080. Its totient is φ = 707461120.

The previous prime is 2845106377. The next prime is 2845106401. The reversal of 2845106400 is 46015482.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2845106401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5589346 + ... + 5589854.

It is an arithmetic number, because the mean of its divisors is an integer number (34363035).

Almost surely, 2^2845106400 is an apocalyptic number.

2845106400 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 2845106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948277040).

2845106400 is an abundant number, since it is smaller than the sum of its proper divisors (7051447680).

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

2845106400 is a wasteful number, since it uses less digits than its factorization.

2845106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 673 counting only the distinct ones).

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

The square root of 2845106400 is about 53339.5388056552. The cubic root of 2845106400 is about 1416.9879950846.

The spelling of 2845106400 in words is "two billion, eight hundred forty-five million, one hundred six thousand, four hundred".