2454141000 has 128 divisors (see below), whose sum is σ = 7695192960. Its totient is φ = 651168000.

The previous prime is 2454140999. The next prime is 2454141013. The reversal of 2454141000 is 1414542.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631062 + ... + 634938.

It is an arithmetic number, because the mean of its divisors is an integer number (60118695).

Almost surely, 2^2454141000 is an apocalyptic number.

2454141000 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 2454141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847596480).

2454141000 is an abundant number, since it is smaller than the sum of its proper divisors (5241051960).

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

2454141000 is a wasteful number, since it uses less digits than its factorization.

2454141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2454141000 is about 49539.2874393647. The cubic root of 2454141000 is about 1348.8588436072.

Adding to 2454141000 its reverse (1414542), we get a palindrome (2455555542).

The spelling of 2454141000 in words is "two billion, four hundred fifty-four million, one hundred forty-one thousand".