2703663072 has 72 divisors (see below), whose sum is σ = 8387510040. Its totient is φ = 819290880.

The previous prime is 2703663071. The next prime is 2703663073.

2703663072 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2703663071) and next prime (2703663073).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2703663071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423547 + ... + 429882.

It is an arithmetic number, because the mean of its divisors is an integer number (116493195).

Almost surely, 2^2703663072 is an apocalyptic number.

2703663072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2703663072 is an abundant number, since it is smaller than the sum of its proper divisors (5683846968).

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

2703663072 is a wasteful number, since it uses less digits than its factorization.

2703663072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853456 (or 853445 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 2703663072 is about 51996.7602067667. The cubic root of 2703663072 is about 1393.1060867814.

The spelling of 2703663072 in words is "two billion, seven hundred three million, six hundred sixty-three thousand, seventy-two".