2623153104 has 360 divisors, whose sum is σ = 8920679040. Its totient is φ = 712857600.

The previous prime is 2623153103. The next prime is 2623153121. The reversal of 2623153104 is 4013513262.

2623153104 is a `hidden beast` number, since 2 + 623 + 1 + 5 + 31 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2623153103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10975417 + ... + 10975655.

It is an arithmetic number, because the mean of its divisors is an integer number (24779664).

Almost surely, 2^2623153104 is an apocalyptic number.

2623153104 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 2623153104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460339520).

2623153104 is an abundant number, since it is smaller than the sum of its proper divisors (6297525936).

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

2623153104 is a wasteful number, since it uses less digits than its factorization.

2623153104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

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

The square root of 2623153104 is about 51216.7267989668. The cubic root of 2623153104 is about 1379.1384919042.

Adding to 2623153104 its reverse (4013513262), we get a palindrome (6636666366).

The spelling of 2623153104 in words is "two billion, six hundred twenty-three million, one hundred fifty-three thousand, one hundred four".