2632140000 has 360 divisors, whose sum is σ = 10694764080. Its totient is φ = 601344000.

The previous prime is 2632139999. The next prime is 2632140059. The reversal of 2632140000 is 412362.

It is a happy number.

2632140000 is a `hidden beast` number, since 263 + 2 + 1 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1258956 + ... + 1261044.

It is an arithmetic number, because the mean of its divisors is an integer number (29707678).

Almost surely, 2^2632140000 is an apocalyptic number.

2632140000 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 2632140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347382040).

2632140000 is an abundant number, since it is smaller than the sum of its proper divisors (8062624080).

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

2632140000 is a wasteful number, since it uses less digits than its factorization.

2632140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2632140000 is about 51304.3857774362. The cubic root of 2632140000 is about 1380.7116682152.

Adding to 2632140000 its reverse (412362), we get a palindrome (2632552362).

The spelling of 2632140000 in words is "two billion, six hundred thirty-two million, one hundred forty thousand".