2896434240 has 112 divisors (see below), whose sum is σ = 10509942912. Its totient is φ = 662040576.

The previous prime is 2896434239. The next prime is 2896434251. The reversal of 2896434240 is 424346982.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2896434192 and 2896434201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208789 + ... + 222228.

It is an arithmetic number, because the mean of its divisors is an integer number (93838776).

Almost surely, 2^2896434240 is an apocalyptic number.

2896434240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2896434240 is an abundant number, since it is smaller than the sum of its proper divisors (7613508672).

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

2896434240 is a wasteful number, since it uses less digits than its factorization.

2896434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431044 (or 431034 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 2896434240 is about 53818.5306376902. The cubic root of 2896434240 is about 1425.4584329892.

The spelling of 2896434240 in words is "two billion, eight hundred ninety-six million, four hundred thirty-four thousand, two hundred forty".