2661370808040 has 288 divisors, whose sum is σ = 10226559643560. Its totient is φ = 598340736000.

The previous prime is 2661370807973. The next prime is 2661370808069. The reversal of 2661370808040 is 408080731662.

2661370808040 is a `hidden beast` number, since 26 + 613 + 7 + 0 + 8 + 0 + 8 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 659321264196 + 2002049543844 = 811986^2 + 1414938^2 .

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 71 ways as a sum of consecutive naturals, for example, 160611 + ... + 2312690.

Almost surely, 2^{2661370808040} is an apocalyptic number.

2661370808040 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 2661370808040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5113279821780).

2661370808040 is an abundant number, since it is smaller than the sum of its proper divisors (7565188835520).

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

2661370808040 is a wasteful number, since it uses less digits than its factorization.

2661370808040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473393 (or 2473379 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2661370808040 in words is "two trillion, six hundred sixty-one billion, three hundred seventy million, eight hundred eight thousand, forty".