2896734240 has 144 divisors (see below), whose sum is σ = 10204137216. Its totient is φ = 747532800.

The previous prime is 2896734229. The next prime is 2896734251. The reversal of 2896734240 is 424376982.

It is an interprime number because it is at equal distance from previous prime (2896734229) and next prime (2896734251).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12195 + ... + 77085.

It is an arithmetic number, because the mean of its divisors is an integer number (70862064).

Almost surely, 2^2896734240 is an apocalyptic number.

2896734240 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 2896734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102068608).

2896734240 is an abundant number, since it is smaller than the sum of its proper divisors (7307402976).

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

2896734240 is a wasteful number, since it uses less digits than its factorization.

2896734240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64943 (or 64932 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2896734240 is about 53821.3177096213. The cubic root of 2896734240 is about 1425.5076455417.

The spelling of 2896734240 in words is "two billion, eight hundred ninety-six million, seven hundred thirty-four thousand, two hundred forty".