2055615408 has 200 divisors, whose sum is σ = 7417977600. Its totient is φ = 533900160.

The previous prime is 2055615407. The next prime is 2055615427. The reversal of 2055615408 is 8045165502.

2055615408 is a `hidden beast` number, since 2 + 0 + 55 + 61 + 540 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2055615407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89493 + ... + 110091.

It is an arithmetic number, because the mean of its divisors is an integer number (37089888).

Almost surely, 2^2055615408 is an apocalyptic number.

2055615408 is a gapful number since it is divisible by the number (28) 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 2055615408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708988800).

2055615408 is an abundant number, since it is smaller than the sum of its proper divisors (5362362192).

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

2055615408 is a wasteful number, since it uses less digits than its factorization.

2055615408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20637 (or 20622 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2055615408 is about 45338.8950901982. The cubic root of 2055615408 is about 1271.4929449278.

The spelling of 2055615408 in words is "two billion, fifty-five million, six hundred fifteen thousand, four hundred eight".