2985101640 has 128 divisors (see below), whose sum is σ = 10070524800. Its totient is φ = 786412800.

The previous prime is 2985101593. The next prime is 2985101657. The reversal of 2985101640 is 461015892.

2985101640 is a `hidden beast` number, since 2 + 9 + 8 + 5 + 1 + 0 + 1 + 640 = 666.

It is a super-2 number, since 2×2985101640² = 17821663602261379200, which contains 22 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 = 2985101595 and 2985101604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72990 + ... + 106290.

It is an arithmetic number, because the mean of its divisors is an integer number (78675975).

Almost surely, 2^2985101640 is an apocalyptic number.

2985101640 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 2985101640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035262400).

2985101640 is an abundant number, since it is smaller than the sum of its proper divisors (7085423160).

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

2985101640 is a wasteful number, since it uses less digits than its factorization.

2985101640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33404 (or 33394 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2985101640 is about 54636.0836810253. The cubic root of 2985101640 is about 1439.8581457486.

The spelling of 2985101640 in words is "two billion, nine hundred eighty-five million, one hundred one thousand, six hundred forty".