2849520960 has 1008 divisors, whose sum is σ = 12616360848. Its totient is φ = 583925760.

The previous prime is 2849520937. The next prime is 2849521001. The reversal of 2849520960 is 690259482.

2849520960 is a `hidden beast` number, since 28 + 49 + 520 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33732864 + 2815788096 = 5808^2 + 53064^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77014062 + ... + 77014098.

It is an arithmetic number, because the mean of its divisors is an integer number (12516231).

Almost surely, 2^2849520960 is an apocalyptic number.

2849520960 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 2849520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308180424).

2849520960 is an abundant number, since it is smaller than the sum of its proper divisors (9766839888).

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

2849520960 is a wasteful number, since it uses less digits than its factorization.

2849520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2849520960 is about 53380.9044509364. The cubic root of 2849520960 is about 1417.7204979721.

It can be divided in two parts, 28495 and 20960, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 2849520960 in words is "two billion, eight hundred forty-nine million, five hundred twenty thousand, nine hundred sixty".