2432855040 has 704 divisors, whose sum is σ = 10356968448. Its totient is φ = 475791360.

The previous prime is 2432855027. The next prime is 2432855059. The reversal of 2432855040 is 405582342.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2432854992 and 2432855010.

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, 143109112 + ... + 143109128.

Almost surely, 2^2432855040 is an apocalyptic number.

2432855040 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 2432855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178484224).

2432855040 is an abundant number, since it is smaller than the sum of its proper divisors (7924113408).

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

2432855040 is a wasteful number, since it uses less digits than its factorization.

2432855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 2432855040 is about 49323.9803746616. The cubic root of 2432855040 is about 1344.9477442235.

The spelling of 2432855040 in words is "two billion, four hundred thirty-two million, eight hundred fifty-five thousand, forty".