2676219264 has 192 divisors, whose sum is σ = 8056776000. Its totient is φ = 884224512.

The previous prime is 2676219241. The next prime is 2676219269. The reversal of 2676219264 is 4629126762.

2676219264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2676219269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4323147 + ... + 4323765.

It is an arithmetic number, because the mean of its divisors is an integer number (41962375).

Almost surely, 2^2676219264 is an apocalyptic number.

2676219264 is a gapful number since it is divisible by the number (24) 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 2676219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028388000).

2676219264 is an abundant number, since it is smaller than the sum of its proper divisors (5380556736).

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

2676219264 is an equidigital number, since it uses as much as digits as its factorization.

2676219264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 763 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2676219264 is about 51732.1878910993. The cubic root of 2676219264 is about 1388.3764256830.

The spelling of 2676219264 in words is "two billion, six hundred seventy-six million, two hundred nineteen thousand, two hundred sixty-four".