2813069952 has 576 divisors, whose sum is σ = 10776830400. Its totient is φ = 707097600.

The previous prime is 2813069927. The next prime is 2813069969. The reversal of 2813069952 is 2599603182.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 2813069898 and 2813069907.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90744177 + ... + 90744207.

It is an arithmetic number, because the mean of its divisors is an integer number (18709775).

Almost surely, 2^2813069952 is an apocalyptic number.

2813069952 is a gapful number since it is divisible by the number (22) 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 2813069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388415200).

2813069952 is an abundant number, since it is smaller than the sum of its proper divisors (7963760448).

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

2813069952 is a wasteful number, since it uses less digits than its factorization.

2813069952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2813069952 is about 53038.3818757699. The cubic root of 2813069952 is about 1411.6493871688.

The spelling of 2813069952 in words is "two billion, eight hundred thirteen million, sixty-nine thousand, nine hundred fifty-two".