2623703040 has 576 divisors, whose sum is σ = 10732176000. Its totient is φ = 592478208.

The previous prime is 2623703039. The next prime is 2623703059. The reversal of 2623703040 is 403073262.

2623703040 is a `hidden beast` number, since 2 + 623 + 7 + 0 + 30 + 4 + 0 = 666.

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 = 2623702995 and 2623703013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31610839 + ... + 31610921.

It is an arithmetic number, because the mean of its divisors is an integer number (18632250).

Almost surely, 2^2623703040 is an apocalyptic number.

2623703040 is a gapful number since it is divisible by the number (20) 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 2623703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366088000).

2623703040 is an abundant number, since it is smaller than the sum of its proper divisors (8108472960).

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

2623703040 is an equidigital number, since it uses as much as digits as its factorization.

2623703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2623703040 is about 51222.0952324287. The cubic root of 2623703040 is about 1379.2348625544.

The spelling of 2623703040 in words is "two billion, six hundred twenty-three million, seven hundred three thousand, forty".