2749415424 has 240 divisors, whose sum is σ = 8581284096. Its totient is φ = 766771200.

The previous prime is 2749415411. The next prime is 2749415429. The reversal of 2749415424 is 4245149472.

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

It is not an unprimeable number, because it can be changed into a prime (2749415429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20987839 + ... + 20987969.

Almost surely, 2^2749415424 is an apocalyptic number.

2749415424 is a gapful number since it is divisible by the number (24) 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 2749415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290642048).

2749415424 is an abundant number, since it is smaller than the sum of its proper divisors (5831868672).

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

2749415424 is an equidigital number, since it uses as much as digits as its factorization.

2749415424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 2749415424 is about 52434.8683988050. The cubic root of 2749415424 is about 1400.9203852657.

The spelling of 2749415424 in words is "two billion, seven hundred forty-nine million, four hundred fifteen thousand, four hundred twenty-four".