2685038400 has 756 divisors, whose sum is σ = 11109143136. Its totient is φ = 613324800.

The previous prime is 2685038383. The next prime is 2685038431. The reversal of 2685038400 is 48305862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 40075167 + ... + 40075233.

Almost surely, 2^2685038400 is an apocalyptic number.

2685038400 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 2685038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554571568).

2685038400 is an abundant number, since it is smaller than the sum of its proper divisors (8424104736).

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

2685038400 is a wasteful number, since it uses less digits than its factorization.

2685038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2685038400 is about 51817.3561656710. The cubic root of 2685038400 is about 1389.8998254327.

The spelling of 2685038400 in words is "two billion, six hundred eighty-five million, thirty-eight thousand, four hundred".