2155096440 has 384 divisors, whose sum is σ = 8446464000. Its totient is φ = 475856640.

The previous prime is 2155096439. The next prime is 2155096457. The reversal of 2155096440 is 446905512.

2155096440 is a `hidden beast` number, since 2 + 1 + 5 + 5 + 0 + 9 + 644 + 0 = 666.

It is a super-3 number, since 3×2155096440³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2155096395 and 2155096404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3827599 + ... + 3828161.

It is an arithmetic number, because the mean of its divisors is an integer number (21996000).

Almost surely, 2^2155096440 is an apocalyptic number.

2155096440 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 2155096440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223232000).

2155096440 is an abundant number, since it is smaller than the sum of its proper divisors (6291367560).

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

2155096440 is a wasteful number, since it uses less digits than its factorization.

2155096440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2155096440 is about 46423.0162742578. The cubic root of 2155096440 is about 1291.6818877059.

The spelling of 2155096440 in words is "two billion, one hundred fifty-five million, ninety-six thousand, four hundred forty".