2454179840 has 416 divisors, whose sum is σ = 7643185920. Its totient is φ = 736100352.

The previous prime is 2454179813. The next prime is 2454179843. The reversal of 2454179840 is 489714542.

It is a junction number, because it is equal to n+sod(n) for n = 2454179791 and 2454179800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2454179843) 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, 46305254 + ... + 46305306.

Almost surely, 2^2454179840 is an apocalyptic number.

2454179840 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 2454179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821592960).

2454179840 is an abundant number, since it is smaller than the sum of its proper divisors (5189006080).

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

2454179840 is a wasteful number, since it uses less digits than its factorization.

2454179840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 2454179840 is about 49539.6794499117. The cubic root of 2454179840 is about 1348.8659593898.

The spelling of 2454179840 in words is "two billion, four hundred fifty-four million, one hundred seventy-nine thousand, eight hundred forty".