2609142480 has 240 divisors, whose sum is σ = 10142446080. Its totient is φ = 588736512.

The previous prime is 2609142449. The next prime is 2609142493. The reversal of 2609142480 is 842419062.

2609142480 is a `hidden beast` number, since 2 + 609 + 1 + 4 + 2 + 48 + 0 = 666.

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 (36).

It is a congruent number.

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, 394884 + ... + 401436.

It is an arithmetic number, because the mean of its divisors is an integer number (42260192).

Almost surely, 2^2609142480 is an apocalyptic number.

2609142480 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 2609142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071223040).

2609142480 is an abundant number, since it is smaller than the sum of its proper divisors (7533303600).

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

2609142480 is a wasteful number, since it uses less digits than its factorization.

2609142480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6658 (or 6649 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2609142480 is about 51079.7658569418. The cubic root of 2609142480 is about 1376.6787174679.

The spelling of 2609142480 in words is "two billion, six hundred nine million, one hundred forty-two thousand, four hundred eighty".