2865151440 has 400 divisors, whose sum is σ = 10889303040. Its totient is φ = 695070720.

The previous prime is 2865151427. The next prime is 2865151441. The reversal of 2865151440 is 441515682.

It is a happy number.

2865151440 is a `hidden beast` number, since 2 + 8 + 65 + 151 + 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 = 2865151395 and 2865151404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2865151441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3414541 + ... + 3415379.

Almost surely, 2^2865151440 is an apocalyptic number.

2865151440 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 2865151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444651520).

2865151440 is an abundant number, since it is smaller than the sum of its proper divisors (8024151600).

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

2865151440 is a wasteful number, since it uses less digits than its factorization.

2865151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2865151440 is about 53527.1093932785. The cubic root of 2865151440 is about 1420.3079805431.

The spelling of 2865151440 in words is "two billion, eight hundred sixty-five million, one hundred fifty-one thousand, four hundred forty".