2451731742720 has 896 divisors, whose sum is σ = 9506701083600. Its totient is φ = 603120992256.

The previous prime is 2451731742673. The next prime is 2451731742721. The reversal of 2451731742720 is 272471371542.

2451731742720 is a `hidden beast` number, since 2 + 45 + 173 + 17 + 427 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451731742721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1552710891 + ... + 1552712469.

Almost surely, 2^{2451731742720} is an apocalyptic number.

2451731742720 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 2451731742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753350541800).

2451731742720 is an abundant number, since it is smaller than the sum of its proper divisors (7054969340880).

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

2451731742720 is an frugal number, since it uses more digits than its factorization.

2451731742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 2451731742720 in words is "two trillion, four hundred fifty-one billion, seven hundred thirty-one million, seven hundred forty-two thousand, seven hundred twenty".