2653213104 has 80 divisors (see below), whose sum is σ = 7712204800. Its totient is φ = 873198144.

The previous prime is 2653213099. The next prime is 2653213127. The reversal of 2653213104 is 4013123562.

2653213104 is a `hidden beast` number, since 2 + 653 + 2 + 1 + 3 + 1 + 0 + 4 = 666.

It is a super-3 number, since 3×2653213104³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4744 + ... + 72999.

It is an arithmetic number, because the mean of its divisors is an integer number (96402560).

Almost surely, 2^2653213104 is an apocalyptic number.

2653213104 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 2653213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856102400).

2653213104 is an abundant number, since it is smaller than the sum of its proper divisors (5058991696).

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

2653213104 is a wasteful number, since it uses less digits than its factorization.

2653213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77839 (or 77827 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2653213104 is about 51509.3496755686. The cubic root of 2653213104 is about 1384.3865710444.

Adding to 2653213104 its reverse (4013123562), we get a palindrome (6666336666).

The spelling of 2653213104 in words is "two billion, six hundred fifty-three million, two hundred thirteen thousand, one hundred four".