2889896739840 has 528 divisors, whose sum is σ = 10941709162176. Its totient is φ = 699428044800.

The previous prime is 2889896739781. The next prime is 2889896739857. The reversal of 2889896739840 is 489376989882.

2889896739840 is a `hidden beast` number, since 2 + 88 + 98 + 9 + 67 + 398 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a self number, because there is not a number n which added to its sum of digits gives 2889896739840.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330988275 + ... + 330997005.

Almost surely, 2^{2889896739840} is an apocalyptic number.

2889896739840 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 2889896739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470854581088).

2889896739840 is an abundant number, since it is smaller than the sum of its proper divisors (8051812422336).

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

2889896739840 is a wasteful number, since it uses less digits than its factorization.

2889896739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 81.

The spelling of 2889896739840 in words is "two trillion, eight hundred eighty-nine billion, eight hundred ninety-six million, seven hundred thirty-nine thousand, eight hundred forty".