2896266240 has 704 divisors, whose sum is σ = 12215185920. Its totient is φ = 637009920.

The previous prime is 2896266239. The next prime is 2896266259. The reversal of 2896266240 is 426626982.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39674844 + ... + 39674916.

Almost surely, 2^2896266240 is an apocalyptic number.

2896266240 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 2896266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107592960).

2896266240 is an abundant number, since it is smaller than the sum of its proper divisors (9318919680).

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

2896266240 is a wasteful number, since it uses less digits than its factorization.

2896266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2896266240 is about 53816.9698143625. The cubic root of 2896266240 is about 1425.4308724755.

The spelling of 2896266240 in words is "two billion, eight hundred ninety-six million, two hundred sixty-six thousand, two hundred forty".