2385634680 has 640 divisors, whose sum is σ = 9952588800. Its totient is φ = 503884800.

The previous prime is 2385634663. The next prime is 2385634703. The reversal of 2385634680 is 864365832.

It is a happy number.

2385634680 is a `hidden beast` number, since 2 + 3 + 8 + 5 + 634 + 6 + 8 + 0 = 666.

2385634680 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 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 159 ways as a sum of consecutive naturals, for example, 8802945 + ... + 8803215.

It is an arithmetic number, because the mean of its divisors is an integer number (15550920).

Almost surely, 2^2385634680 is an apocalyptic number.

2385634680 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 2385634680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976294400).

2385634680 is an abundant number, since it is smaller than the sum of its proper divisors (7566954120).

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

2385634680 is a wasteful number, since it uses less digits than its factorization.

2385634680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2385634680 is about 48842.9593698007. The cubic root of 2385634680 is about 1336.1892697417.

The spelling of 2385634680 in words is "two billion, three hundred eighty-five million, six hundred thirty-four thousand, six hundred eighty".