2601771480 has 384 divisors, whose sum is σ = 10771937280. Its totient is φ = 528860160.

The previous prime is 2601771437. The next prime is 2601771493. The reversal of 2601771480 is 841771062.

2601771480 is a `hidden beast` number, since 2 + 6 + 0 + 177 + 1 + 480 = 666.

2601771480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 1301842 + ... + 1303838.

It is an arithmetic number, because the mean of its divisors is an integer number (28051920).

Almost surely, 2^2601771480 is an apocalyptic number.

2601771480 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 2601771480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385968640).

2601771480 is an abundant number, since it is smaller than the sum of its proper divisors (8170165800).

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

2601771480 is a wasteful number, since it uses less digits than its factorization.

2601771480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2601771480 is about 51007.5629686422. The cubic root of 2601771480 is about 1375.3810919434.

The spelling of 2601771480 in words is "two billion, six hundred one million, seven hundred seventy-one thousand, four hundred eighty".