2865746520 has 384 divisors, whose sum is σ = 11826777600. Its totient is φ = 604371456.

The previous prime is 2865746501. The next prime is 2865746549. The reversal of 2865746520 is 256475682.

2865746520 is a `hidden beast` number, since 2 + 86 + 5 + 7 + 46 + 520 = 666.

It is a super-2 number, since 2×2865746520² = 16425006233784220800, which contains 22 as substring.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1276519 + ... + 1278761.

It is an arithmetic number, because the mean of its divisors is an integer number (30798900).

Almost surely, 2^2865746520 is an apocalyptic number.

2865746520 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 2865746520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913388800).

2865746520 is an abundant number, since it is smaller than the sum of its proper divisors (8961031080).

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

2865746520 is a wasteful number, since it uses less digits than its factorization.

2865746520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2865746520 is about 53532.6677833265. The cubic root of 2865746520 is about 1420.4063044168.

The spelling of 2865746520 in words is "two billion, eight hundred sixty-five million, seven hundred forty-six thousand, five hundred twenty".