2076456640 has 56 divisors (see below), whose sum is σ = 4958315712. Its totient is φ = 828272640.

The previous prime is 2076456607. The next prime is 2076456661. The reversal of 2076456640 is 466546702.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2076456593 and 2076456602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108600 + ... + 126280.

It is an arithmetic number, because the mean of its divisors is an integer number (88541352).

Almost surely, 2^2076456640 is an apocalyptic number.

2076456640 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 2076456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479157856).

2076456640 is an abundant number, since it is smaller than the sum of its proper divisors (2881859072).

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

2076456640 is a wasteful number, since it uses less digits than its factorization.

2076456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18065 (or 18055 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 2076456640 is about 45568.1537918753. The cubic root of 2076456640 is about 1275.7755916716.

The spelling of 2076456640 in words is "two billion, seventy-six million, four hundred fifty-six thousand, six hundred forty".