2411062879680 has 672 divisors, whose sum is σ = 10444249880064. Its totient is φ = 496875036672.

The previous prime is 2411062879661. The next prime is 2411062879703. The reversal of 2411062879680 is 869782601142.

It is a happy number.

2411062879680 is a `hidden beast` number, since 2 + 4 + 1 + 1 + 0 + 628 + 7 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 11162467 + ... + 11376413.

It is an arithmetic number, because the mean of its divisors is an integer number (15542038512).

Almost surely, 2^{2411062879680} is an apocalyptic number.

2411062879680 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 2411062879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222124940032).

2411062879680 is an abundant number, since it is smaller than the sum of its proper divisors (8033187000384).

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

2411062879680 is a wasteful number, since it uses less digits than its factorization.

2411062879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214033 (or 214020 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2411062879680 in words is "two trillion, four hundred eleven billion, sixty-two million, eight hundred seventy-nine thousand, six hundred eighty".