2685153744 has 360 divisors, whose sum is σ = 9566778312. Its totient is φ = 696729600.

The previous prime is 2685153743. The next prime is 2685153749. The reversal of 2685153744 is 4473515862.

2685153744 is a `hidden beast` number, since 2 + 68 + 51 + 537 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 791859600 + 1893294144 = 28140^2 + 43512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2685153744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685153743) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6695944 + ... + 6696344.

Almost surely, 2^2685153744 is an apocalyptic number.

2685153744 is a gapful number since it is divisible by the number (24) 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 2685153744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783389156).

2685153744 is an abundant number, since it is smaller than the sum of its proper divisors (6881624568).

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

2685153744 is a wasteful number, since it uses less digits than its factorization.

2685153744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

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

The square root of 2685153744 is about 51818.4691398733. The cubic root of 2685153744 is about 1389.9197276073.

The spelling of 2685153744 in words is "two billion, six hundred eighty-five million, one hundred fifty-three thousand, seven hundred forty-four".