2078082072 has 72 divisors (see below), whose sum is σ = 6186327420. Its totient is φ = 629719200.

The previous prime is 2078082067. The next prime is 2078082073. The reversal of 2078082072 is 2702808702.

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 (2078082073) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110554 + ... + 127977.

Almost surely, 2^2078082072 is an apocalyptic number.

2078082072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2078082072 is an abundant number, since it is smaller than the sum of its proper divisors (4108245348).

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

2078082072 is a wasteful number, since it uses less digits than its factorization.

2078082072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238565 (or 238547 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2078082072 is about 45585.9854779953. The cubic root of 2078082072 is about 1276.1083934871.

The spelling of 2078082072 in words is "two billion, seventy-eight million, eighty-two thousand, seventy-two".