2890736640 has 352 divisors, whose sum is σ = 11212974720. Its totient is φ = 700416000.

The previous prime is 2890736573. The next prime is 2890736647. The reversal of 2890736640 is 466370982.

2890736640 is a `hidden beast` number, since 289 + 0 + 7 + 366 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2890736647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1519690 + ... + 1521590.

Almost surely, 2^2890736640 is an apocalyptic number.

2890736640 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 2890736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606487360).

2890736640 is an abundant number, since it is smaller than the sum of its proper divisors (8322238080).

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

2890736640 is a wasteful number, since it uses less digits than its factorization.

2890736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2890736640 is about 53765.5711399033. The cubic root of 2890736640 is about 1424.5231423827.

The spelling of 2890736640 in words is "two billion, eight hundred ninety million, seven hundred thirty-six thousand, six hundred forty".