2434542000 has 160 divisors (see below), whose sum is σ = 8562737664. Its totient is φ = 590176000.

The previous prime is 2434541999. The next prime is 2434542007. The reversal of 2434542000 is 2454342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2434542007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47557 + ... + 84443.

Almost surely, 2^2434542000 is an apocalyptic number.

2434542000 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 2434542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281368832).

2434542000 is an abundant number, since it is smaller than the sum of its proper divisors (6128195664).

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

2434542000 is a wasteful number, since it uses less digits than its factorization.

2434542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36924 (or 36908 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2434542000 is about 49341.0782208901. The cubic root of 2434542000 is about 1345.2585380293.

Adding to 2434542000 its reverse (2454342), we get a palindrome (2436996342).

The spelling of 2434542000 in words is "two billion, four hundred thirty-four million, five hundred forty-two thousand".