2611281653640 has 1024 divisors, whose sum is σ = 9913466880000. Its totient is φ = 605937024000.

The previous prime is 2611281653623. The next prime is 2611281653663. The reversal of 2611281653640 is 463561821162.

2611281653640 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 281 + 6 + 5 + 364 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7889068275 + ... + 7889068605.

It is an arithmetic number, because the mean of its divisors is an integer number (9681120000).

Almost surely, 2^{2611281653640} is an apocalyptic number.

2611281653640 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 2611281653640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956733440000).

2611281653640 is an abundant number, since it is smaller than the sum of its proper divisors (7302185226360).

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

2611281653640 is a wasteful number, since it uses less digits than its factorization.

2611281653640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2611281653640 in words is "two trillion, six hundred eleven billion, two hundred eighty-one million, six hundred fifty-three thousand, six hundred forty".