2451659132160 has 864 divisors, whose sum is σ = 10154539019520. Its totient is φ = 558489157632.

The previous prime is 2451659132149. The next prime is 2451659132191. The reversal of 2451659132160 is 612319561542.

It is a happy number.

2451659132160 is a `hidden beast` number, since 2 + 4 + 5 + 16 + 591 + 32 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 536818197 + ... + 536822763.

It is an arithmetic number, because the mean of its divisors is an integer number (11752938680).

Almost surely, 2^{2451659132160} is an apocalyptic number.

2451659132160 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 2451659132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077269509760).

2451659132160 is an abundant number, since it is smaller than the sum of its proper divisors (7702879887360).

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

2451659132160 is a wasteful number, since it uses less digits than its factorization.

2451659132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2451659132160 in words is "two trillion, four hundred fifty-one billion, six hundred fifty-nine million, one hundred thirty-two thousand, one hundred sixty".