2896085440101 has 128 divisors (see below), whose sum is σ = 4847294218240. Its totient is φ = 1504989823680.

The previous prime is 2896085440081. The next prime is 2896085440103. The reversal of 2896085440101 is 1010445806982.

It is a de Polignac number, because none of the positive numbers 2^k-2896085440101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2896085440103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 567078990 + ... + 567084096.

It is an arithmetic number, because the mean of its divisors is an integer number (37869486080).

Almost surely, 2^{2896085440101} is an apocalyptic number.

2896085440101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2896085440101 is a deficient number, since it is larger than the sum of its proper divisors (1951208778139).

2896085440101 is a wasteful number, since it uses less digits than its factorization.

2896085440101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 2896085440101 in words is "two trillion, eight hundred ninety-six billion, eighty-five million, four hundred forty thousand, one hundred one".