2590479420 has 48 divisors (see below), whose sum is σ = 7568709120. Its totient is φ = 660759616.

The previous prime is 2590479413. The next prime is 2590479427. The reversal of 2590479420 is 249740952.

2590479420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2590479413) and next prime (2590479427).

It is a super-3 number, since 3×2590479420³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590479427) 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, 937200 + ... + 939959.

It is an arithmetic number, because the mean of its divisors is an integer number (157681440).

Almost surely, 2^2590479420 is an apocalyptic number.

2590479420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590479420 is an abundant number, since it is smaller than the sum of its proper divisors (4978229700).

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

2590479420 is a wasteful number, since it uses less digits than its factorization.

2590479420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877194 (or 1877192 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2590479420 is about 50896.7525486646. The cubic root of 2590479420 is about 1373.3884228433.

The spelling of 2590479420 in words is "two billion, five hundred ninety million, four hundred seventy-nine thousand, four hundred twenty".