2696428000 has 384 divisors, whose sum is σ = 8151736320. Its totient is φ = 856627200.

The previous prime is 2696427983. The next prime is 2696428001. The reversal of 2696428000 is 8246962.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696428001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34131961 + ... + 34132039.

It is an arithmetic number, because the mean of its divisors is an integer number (21228480).

Almost surely, 2^2696428000 is an apocalyptic number.

2696428000 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 2696428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075868160).

2696428000 is an abundant number, since it is smaller than the sum of its proper divisors (5455308320).

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

2696428000 is a wasteful number, since it uses less digits than its factorization.

2696428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 2696428000 is about 51927.1412654307. The cubic root of 2696428000 is about 1391.8623140779.

The spelling of 2696428000 in words is "two billion, six hundred ninety-six million, four hundred twenty-eight thousand".