2049079680 has 480 divisors, whose sum is σ = 7739915040. Its totient is φ = 516354048.

The previous prime is 2049079661. The next prime is 2049079699. The reversal of 2049079680 is 869709402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2049079661) and next prime (2049079699).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 43597417 + ... + 43597463.

It is an arithmetic number, because the mean of its divisors is an integer number (16124823).

Almost surely, 2^2049079680 is an apocalyptic number.

2049079680 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 2049079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869957520).

2049079680 is an abundant number, since it is smaller than the sum of its proper divisors (5690835360).

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

2049079680 is an equidigital number, since it uses as much as digits as its factorization.

2049079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2049079680 is about 45266.7613155613. The cubic root of 2049079680 is about 1270.1439645012.

The spelling of 2049079680 in words is "two billion, forty-nine million, seventy-nine thousand, six hundred eighty".