2890751640 has 64 divisors (see below), whose sum is σ = 9911151360. Its totient is φ = 660743040.

The previous prime is 2890751629. The next prime is 2890751641. The reversal of 2890751640 is 461570982.

2890751640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2890751640⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2890751592 and 2890751601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890751641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1719846 + ... + 1721525.

It is an arithmetic number, because the mean of its divisors is an integer number (154861740).

Almost surely, 2^2890751640 is an apocalyptic number.

2890751640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2890751640 is an abundant number, since it is smaller than the sum of its proper divisors (7020399720).

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

2890751640 is a wasteful number, since it uses less digits than its factorization.

2890751640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441392 (or 3441388 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2890751640 is about 53765.7106341951. The cubic root of 2890751640 is about 1424.5256063233.

The spelling of 2890751640 in words is "two billion, eight hundred ninety million, seven hundred fifty-one thousand, six hundred forty".