2645001216 has 440 divisors, whose sum is σ = 9320957184. Its totient is φ = 736542720.

The previous prime is 2645001209. The next prime is 2645001223. The reversal of 2645001216 is 6121005462.

2645001216 is a `hidden beast` number, since 2 + 645 + 0 + 0 + 1 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2645001209) and next prime (2645001223).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2645001216.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11860881 + ... + 11861103.

Almost surely, 2^2645001216 is an apocalyptic number.

2645001216 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 2645001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660478592).

2645001216 is an abundant number, since it is smaller than the sum of its proper divisors (6675955968).

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

2645001216 is a wasteful number, since it uses less digits than its factorization.

2645001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2645001216 is about 51429.5753044880. The cubic root of 2645001216 is about 1382.9568358595.

Adding to 2645001216 its reverse (6121005462), we get a palindrome (8766006678).

The spelling of 2645001216 in words is "two billion, six hundred forty-five million, one thousand, two hundred sixteen".