2102855040 has 1024 divisors, whose sum is σ = 9376819200. Its totient is φ = 437944320.

The previous prime is 2102854997. The next prime is 2102855071. The reversal of 2102855040 is 405582012.

It is a happy number.

2102855040 is a `hidden beast` number, since 2 + 102 + 8 + 550 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2102854995 and 2102855013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56833902 + ... + 56833938.

It is an arithmetic number, because the mean of its divisors is an integer number (9157050).

Almost surely, 2^2102855040 is an apocalyptic number.

2102855040 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 2102855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688409600).

2102855040 is an abundant number, since it is smaller than the sum of its proper divisors (7273964160).

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

2102855040 is a wasteful number, since it uses less digits than its factorization.

2102855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2102855040 is about 45856.8974092230. The cubic root of 2102855040 is about 1281.1592362752.

The spelling of 2102855040 in words is "two billion, one hundred two million, eight hundred fifty-five thousand, forty".