2472766661376 has 864 divisors, whose sum is σ = 8243649662976. Its totient is φ = 706019328000.

The previous prime is 2472766661369. The next prime is 2472766661381. The reversal of 2472766661376 is 6731666672742.

It is a super-2 number, since 2×2472766661376² (a number of 26 digits) contains 22 as substring.

Its product of digits (128024064) is a multiple of the sum of its prime divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5410867740 + ... + 5410868196.

It is an arithmetic number, because the mean of its divisors is an integer number (9541261184).

Almost surely, 2^{2472766661376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472766661376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121824831488).

2472766661376 is an abundant number, since it is smaller than the sum of its proper divisors (5770883001600).

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

2472766661376 is a wasteful number, since it uses less digits than its factorization.

2472766661376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 672 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 63.

The spelling of 2472766661376 in words is "two trillion, four hundred seventy-two billion, seven hundred sixty-six million, six hundred sixty-one thousand, three hundred seventy-six".