2849178240 has 640 divisors, whose sum is σ = 11156674320. Its totient is φ = 690094080.

The previous prime is 2849178239. The next prime is 2849178251. The reversal of 2849178240 is 428719482.

It can be written as a sum of positive squares in 8 ways, for example, as 1111288896 + 1737889344 = 33336^2 + 41688^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46707810 + ... + 46707870.

Almost surely, 2^2849178240 is an apocalyptic number.

2849178240 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 2849178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578337160).

2849178240 is an abundant number, since it is smaller than the sum of its proper divisors (8307496080).

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

2849178240 is a wasteful number, since it uses less digits than its factorization.

2849178240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2849178240 is about 53377.6942177161. The cubic root of 2849178240 is about 1417.6636579328.

The spelling of 2849178240 in words is "two billion, eight hundred forty-nine million, one hundred seventy-eight thousand, two hundred forty".