2635981920 has 768 divisors, whose sum is σ = 11522165760. Its totient is φ = 552960000.

The previous prime is 2635981919. The next prime is 2635981927. The reversal of 2635981920 is 291895362.

2635981920 is a `hidden beast` number, since 2 + 635 + 9 + 8 + 1 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2635981927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10501795 + ... + 10502045.

It is an arithmetic number, because the mean of its divisors is an integer number (15002820).

Almost surely, 2^2635981920 is an apocalyptic number.

2635981920 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 2635981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5761082880).

2635981920 is an abundant number, since it is smaller than the sum of its proper divisors (8886183840).

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

2635981920 is a wasteful number, since it uses less digits than its factorization.

2635981920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2635981920 is about 51341.8145374703. The cubic root of 2635981920 is about 1381.3831123600.

The spelling of 2635981920 in words is "two billion, six hundred thirty-five million, nine hundred eighty-one thousand, nine hundred twenty".