2479491129600 has 513 divisors, whose sum is σ = 9205691941453. Its totient is φ = 661197634560.

The previous prime is 2479491129571. The next prime is 2479491129617. The reversal of 2479491129600 is 69211949742.

The square root of 2479491129600 is 1574640.

It is a perfect power (a square), and thus also a powerful number.

2479491129600 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 4 + 9 + 1 + 1 + 29 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 892616806656 + 1586874322944 = 944784^2 + 1259712^2 .

It is a super-2 number, since 2×2479491129600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 56 ways as a sum of consecutive naturals, for example, 495898225918 + ... + 495898225922.

Almost surely, 2^{2479491129600} is an apocalyptic number.

2479491129600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2479491129600 is the 1574640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2479491129600

2479491129600 is an abundant number, since it is smaller than the sum of its proper divisors (6726200811853).

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

2479491129600 is an frugal number, since it uses more digits than its factorization.

2479491129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 2479491129600 in words is "two trillion, four hundred seventy-nine billion, four hundred ninety-one million, one hundred twenty-nine thousand, six hundred".