2623945680 has 120 divisors (see below), whose sum is σ = 8821444320. Its totient is φ = 698976000.

The previous prime is 2623945633. The next prime is 2623945691. The reversal of 2623945680 is 865493262.

2623945680 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 tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164555 + ... + 1166805.

It is an arithmetic number, because the mean of its divisors is an integer number (73512036).

Almost surely, 2^2623945680 is an apocalyptic number.

2623945680 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 2623945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410722160).

2623945680 is an abundant number, since it is smaller than the sum of its proper divisors (6197498640).

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

2623945680 is a wasteful number, since it uses less digits than its factorization.

2623945680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2623945680 is about 51224.4636867972. The cubic root of 2623945680 is about 1379.2773784471.

The spelling of 2623945680 in words is "two billion, six hundred twenty-three million, nine hundred forty-five thousand, six hundred eighty".