2982050640 has 200 divisors, whose sum is σ = 10397772000. Its totient is φ = 792094464.

The previous prime is 2982050633. The next prime is 2982050647. The reversal of 2982050640 is 460502892.

It is a happy number.

2982050640 is a `hidden beast` number, since 2 + 9 + 8 + 2 + 0 + 5 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2982050633) and next prime (2982050647).

It is a super-3 number, since 3×2982050640³ (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 = 2982050595 and 2982050604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982050647) 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, 1988611 + ... + 1990109.

It is an arithmetic number, because the mean of its divisors is an integer number (51988860).

Almost surely, 2^2982050640 is an apocalyptic number.

2982050640 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 2982050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198886000).

2982050640 is an abundant number, since it is smaller than the sum of its proper divisors (7415721360).

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

2982050640 is a wasteful number, since it uses less digits than its factorization.

2982050640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2982050640 is about 54608.1554348799. The cubic root of 2982050640 is about 1439.3674304961.

The spelling of 2982050640 in words is "two billion, nine hundred eighty-two million, fifty thousand, six hundred forty".