2661984829440 has 816 divisors, whose sum is σ = 9693876943296. Its totient is φ = 700710912000.

The previous prime is 2661984829393. The next prime is 2661984829451. The reversal of 2661984829440 is 449284891662.

2661984829440 is a `hidden beast` number, since 2 + 6 + 61 + 9 + 8 + 482 + 94 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8042250075 + ... + 8042250405.

It is an arithmetic number, because the mean of its divisors is an integer number (11879751156).

Almost surely, 2^{2661984829440} is an apocalyptic number.

2661984829440 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 2661984829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846938471648).

2661984829440 is an abundant number, since it is smaller than the sum of its proper divisors (7031892113856).

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

2661984829440 is an frugal number, since it uses more digits than its factorization.

2661984829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 2661984829440 in words is "two trillion, six hundred sixty-one billion, nine hundred eighty-four million, eight hundred twenty-nine thousand, four hundred forty".