2590669440 has 256 divisors, whose sum is σ = 9716112000. Its totient is φ = 650133504.

The previous prime is 2590669439. The next prime is 2590669463. The reversal of 2590669440 is 449660952.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289351 + ... + 298169.

Almost surely, 2^2590669440 is an apocalyptic number.

2590669440 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 2590669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858056000).

2590669440 is an abundant number, since it is smaller than the sum of its proper divisors (7125442560).

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

2590669440 is a wasteful number, since it uses less digits than its factorization.

2590669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8864 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2590669440 is about 50898.6192347101. The cubic root of 2590669440 is about 1373.4220028421.

The spelling of 2590669440 in words is "two billion, five hundred ninety million, six hundred sixty-nine thousand, four hundred forty".