2632405820 has 144 divisors (see below), whose sum is σ = 6379569504. Its totient is φ = 910694400.

The previous prime is 2632405793. The next prime is 2632405823. The reversal of 2632405820 is 285042362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632405823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4266152 + ... + 4266768.

It is an arithmetic number, because the mean of its divisors is an integer number (44302566).

Almost surely, 2^2632405820 is an apocalyptic number.

2632405820 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 2632405820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189784752).

2632405820 is an abundant number, since it is smaller than the sum of its proper divisors (3747163684).

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

2632405820 is a wasteful number, since it uses less digits than its factorization.

2632405820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2632405820 is about 51306.9763287606. The cubic root of 2632405820 is about 1380.7581460395.

The spelling of 2632405820 in words is "two billion, six hundred thirty-two million, four hundred five thousand, eight hundred twenty".