2685411456 has 512 divisors, whose sum is σ = 9446277120. Its totient is φ = 656916480.

The previous prime is 2685411431. The next prime is 2685411461. The reversal of 2685411456 is 6541145862.

It is a super-2 number, since 2×2685411456² = 14422869376032079872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (230400) is a multiple of the sum of its prime divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40080735 + ... + 40080801.

It is an arithmetic number, because the mean of its divisors is an integer number (18449760).

Almost surely, 2^2685411456 is an apocalyptic number.

2685411456 is a gapful number since it is divisible by the number (26) 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 2685411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723138560).

2685411456 is an abundant number, since it is smaller than the sum of its proper divisors (6760865664).

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

2685411456 is a wasteful number, since it uses less digits than its factorization.

2685411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 2685411456 is about 51820.9557611590. The cubic root of 2685411456 is about 1389.9641927874.

The spelling of 2685411456 in words is "two billion, six hundred eighty-five million, four hundred eleven thousand, four hundred fifty-six".