2632071740 has 48 divisors (see below), whose sum is σ = 5725520640. Its totient is φ = 1015319040.

The previous prime is 2632071713. The next prime is 2632071749. The reversal of 2632071740 is 471702362.

2632071740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2632071697 and 2632071706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632071749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174416 + ... + 188904.

It is an arithmetic number, because the mean of its divisors is an integer number (119281680).

Almost surely, 2^2632071740 is an apocalyptic number.

2632071740 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 2632071740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862760320).

2632071740 is an abundant number, since it is smaller than the sum of its proper divisors (3093448900).

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

2632071740 is a wasteful number, since it uses less digits than its factorization.

2632071740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14822 (or 14820 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 2632071740 is about 51303.7205278526. The cubic root of 2632071740 is about 1380.6997326554.

The spelling of 2632071740 in words is "two billion, six hundred thirty-two million, seventy-one thousand, seven hundred forty".