2896155648 has 264 divisors, whose sum is σ = 8834000448. Its totient is φ = 947552256.

The previous prime is 2896155643. The next prime is 2896155677. The reversal of 2896155648 is 8465516982.

2896155648 is a `hidden beast` number, since 2 + 89 + 6 + 1 + 556 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2896155594 and 2896155603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2896155643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25629640 + ... + 25629752.

Almost surely, 2^2896155648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2896155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417000224).

2896155648 is an abundant number, since it is smaller than the sum of its proper divisors (5937844800).

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

2896155648 is a wasteful number, since it uses less digits than its factorization.

2896155648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 2896155648 is about 53815.9423219551. The cubic root of 2896155648 is about 1425.4127292013.

The spelling of 2896155648 in words is "two billion, eight hundred ninety-six million, one hundred fifty-five thousand, six hundred forty-eight".