2155616083440 has 280 divisors, whose sum is σ = 7518903342720. Its totient is φ = 574476820992.

The previous prime is 2155616083429. The next prime is 2155616083447. The reversal of 2155616083440 is 443806165512.

2155616083440 is a `hidden beast` number, since 2 + 1 + 5 + 5 + 6 + 1 + 608 + 34 + 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 (2155616083447) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 102574374 + ... + 102595386.

It is an arithmetic number, because the mean of its divisors is an integer number (26853226224).

Almost surely, 2^{2155616083440} is an apocalyptic number.

2155616083440 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 2155616083440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759451671360).

2155616083440 is an abundant number, since it is smaller than the sum of its proper divisors (5363287259280).

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

2155616083440 is a wasteful number, since it uses less digits than its factorization.

2155616083440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22803 (or 22782 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2155616083440 in words is "two trillion, one hundred fifty-five billion, six hundred sixteen million, eighty-three thousand, four hundred forty".