2896754433048 has 384 divisors, whose sum is σ = 9500228075520. Its totient is φ = 809843650560.

The previous prime is 2896754433031. The next prime is 2896754433127. The reversal of 2896754433048 is 8403344576982.

2896754433048 is a `hidden beast` number, since 2 + 8 + 96 + 75 + 4 + 433 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126148288 + ... + 126171248.

It is an arithmetic number, because the mean of its divisors is an integer number (24740177280).

Almost surely, 2^{2896754433048} is an apocalyptic number.

2896754433048 is a gapful number since it is divisible by the number (28) 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 2896754433048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750114037760).

2896754433048 is an abundant number, since it is smaller than the sum of its proper divisors (6603473642472).

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

2896754433048 is a wasteful number, since it uses less digits than its factorization.

2896754433048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23189 (or 23173 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 2896754433048 in words is "two trillion, eight hundred ninety-six billion, seven hundred fifty-four million, four hundred thirty-three thousand, forty-eight".