2609457840 has 240 divisors, whose sum is σ = 10122986016. Its totient is φ = 595353600.

The previous prime is 2609457821. The next prime is 2609457869. The reversal of 2609457840 is 487549062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 124950 + ... + 144330.

Almost surely, 2^2609457840 is an apocalyptic number.

2609457840 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 2609457840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061493008).

2609457840 is an abundant number, since it is smaller than the sum of its proper divisors (7513528176).

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

2609457840 is a wasteful number, since it uses less digits than its factorization.

2609457840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19428 (or 19419 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2609457840 is about 51082.8527002946. The cubic root of 2609457840 is about 1376.7341803787.

The spelling of 2609457840 in words is "two billion, six hundred nine million, four hundred fifty-seven thousand, eight hundred forty".