2007401480 has 128 divisors (see below), whose sum is σ = 5532468480. Its totient is φ = 639836160.

The previous prime is 2007401453. The next prime is 2007401573. The reversal of 2007401480 is 841047002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392540 + ... + 397620.

It is an arithmetic number, because the mean of its divisors is an integer number (43222410).

Almost surely, 2^2007401480 is an apocalyptic number.

2007401480 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 2007401480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766234240).

2007401480 is an abundant number, since it is smaller than the sum of its proper divisors (3525067000).

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

2007401480 is a wasteful number, since it uses less digits than its factorization.

2007401480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 2007401480 is about 44804.0341933625. The cubic root of 2007401480 is about 1261.4733499891.

Adding to 2007401480 its reverse (841047002), we get a palindrome (2848448482).

The spelling of 2007401480 in words is "two billion, seven million, four hundred one thousand, four hundred eighty".