2890137601 has 16 divisors (see below), whose sum is σ = 3221296848. Its totient is φ = 2575872000.

The previous prime is 2890137521. The next prime is 2890137721. The reversal of 2890137601 is 1067310982.

It is a Cunningham number, because it is equal to 53760²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 138086001 + 2752051600 = 11751^2 + 52460^2 .

It is not a de Polignac number, because 2890137601 - 2¹³ = 2890129409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2890177601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23751 + ... + 79651.

It is an arithmetic number, because the mean of its divisors is an integer number (201331053).

It is a Proth number, since it is equal to 11025 ⋅ 2¹⁸ + 1 and 11025 < 2¹⁸.

Almost surely, 2^2890137601 is an apocalyptic number.

It is an amenable number.

2890137601 is a deficient number, since it is larger than the sum of its proper divisors (331159247).

2890137601 is a wasteful number, since it uses less digits than its factorization.

2890137601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56052.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 2890137601 is about 53760.0000093006. Note that the first 5 decimals coincide. The cubic root of 2890137601 is about 1424.4247356468.

The spelling of 2890137601 in words is "two billion, eight hundred ninety million, one hundred thirty-seven thousand, six hundred one".