2434002480 has 960 divisors, whose sum is σ = 11043043200. Its totient is φ = 487710720.

The previous prime is 2434002469. The next prime is 2434002481. The reversal of 2434002480 is 842004342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2434002481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39901650 + ... + 39901710.

It is an arithmetic number, because the mean of its divisors is an integer number (11503170).

Almost surely, 2^2434002480 is an apocalyptic number.

2434002480 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 2434002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521521600).

2434002480 is an abundant number, since it is smaller than the sum of its proper divisors (8609040720).

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

2434002480 is a wasteful number, since it uses less digits than its factorization.

2434002480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2434002480 is about 49335.6106681573. The cubic root of 2434002480 is about 1345.1591562281.

The spelling of 2434002480 in words is "two billion, four hundred thirty-four million, two thousand, four hundred eighty".