2661406284240 has 320 divisors, whose sum is σ = 10526776243200. Its totient is φ = 611231961600.

The previous prime is 2661406284223. The next prime is 2661406284241. The reversal of 2661406284240 is 424826041662.

2661406284240 is a `hidden beast` number, since 2 + 6 + 6 + 14 + 0 + 628 + 4 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661406284241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2496246 + ... + 3399125.

It is an arithmetic number, because the mean of its divisors is an integer number (32896175760).

Almost surely, 2^{2661406284240} is an apocalyptic number.

2661406284240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2661406284240 is an abundant number, since it is smaller than the sum of its proper divisors (7865369958960).

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

2661406284240 is a wasteful number, since it uses less digits than its factorization.

2661406284240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895423 (or 5895411 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 2661406284240 in words is "two trillion, six hundred sixty-one billion, four hundred six million, two hundred eighty-four thousand, two hundred forty".