2835627264 has 216 divisors, whose sum is σ = 8600824960. Its totient is φ = 931627008.

The previous prime is 2835627227. The next prime is 2835627283. The reversal of 2835627264 is 4627265382.

2835627264 is a `hidden beast` number, since 2 + 83 + 562 + 7 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4914144 + ... + 4914720.

Almost surely, 2^2835627264 is an apocalyptic number.

2835627264 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 2835627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300412480).

2835627264 is an abundant number, since it is smaller than the sum of its proper divisors (5765197696).

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

2835627264 is an frugal number, since it uses more digits than its factorization.

2835627264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 661 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2835627264 is about 53250.6081092038. The cubic root of 2835627264 is about 1415.4125687466.

The spelling of 2835627264 in words is "two billion, eight hundred thirty-five million, six hundred twenty-seven thousand, two hundred sixty-four".