2479669770240 has 960 divisors, whose sum is σ = 9754433488800. Its totient is φ = 598725623808.

The previous prime is 2479669770233. The next prime is 2479669770287. The reversal of 2479669770240 is 420779669742.

2479669770240 is a `hidden beast` number, since 2 + 479 + 6 + 6 + 97 + 70 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2479669770240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 571481991 + ... + 571486329.

Almost surely, 2^{2479669770240} is an apocalyptic number.

2479669770240 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 2479669770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877216744400).

2479669770240 is an abundant number, since it is smaller than the sum of its proper divisors (7274763718560).

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

2479669770240 is a wasteful number, since it uses less digits than its factorization.

2479669770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 2479669770240 in words is "two trillion, four hundred seventy-nine billion, six hundred sixty-nine million, seven hundred seventy thousand, two hundred forty".