2623926144 has 256 divisors, whose sum is σ = 8499456000. Its totient is φ = 700545024.

The previous prime is 2623926113. The next prime is 2623926157. The reversal of 2623926144 is 4416293262.

2623926144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4238667 + ... + 4239285.

It is an arithmetic number, because the mean of its divisors is an integer number (33201000).

Almost surely, 2^2623926144 is an apocalyptic number.

2623926144 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 2623926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249728000).

2623926144 is an abundant number, since it is smaller than the sum of its proper divisors (5875529856).

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

2623926144 is a wasteful number, since it uses less digits than its factorization.

2623926144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 733 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 2623926144 is about 51224.2729963052. The cubic root of 2623926144 is about 1379.2739554050.

The spelling of 2623926144 in words is "two billion, six hundred twenty-three million, nine hundred twenty-six thousand, one hundred forty-four".