2491632000 has 768 divisors, whose sum is σ = 10599301440. Its totient is φ = 557568000.

The previous prime is 2491631993. The next prime is 2491632001. The reversal of 2491632000 is 2361942.

2491632000 is a `hidden beast` number, since 24 + 9 + 1 + 632 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2491632001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191663994 + ... + 191664006.

Almost surely, 2^2491632000 is an apocalyptic number.

2491632000 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 2491632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299650720).

2491632000 is an abundant number, since it is smaller than the sum of its proper divisors (8107669440).

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

2491632000 is a wasteful number, since it uses less digits than its factorization.

2491632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2491632000 is about 49916.2498591391. The cubic root of 2491632000 is about 1355.6928325048.

Adding to 2491632000 its reverse (2361942), we get a palindrome (2493993942).

The spelling of 2491632000 in words is "two billion, four hundred ninety-one million, six hundred thirty-two thousand".