2610338730480 has 400 divisors, whose sum is σ = 9947718617760. Its totient is φ = 630420350976.

The previous prime is 2610338730457. The next prime is 2610338730521. The reversal of 2610338730480 is 840378330162.

2610338730480 is a `hidden beast` number, since 2 + 6 + 1 + 0 + 338 + 7 + 304 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4172391 + ... + 4757049.

Almost surely, 2^{2610338730480} is an apocalyptic number.

2610338730480 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 2610338730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973859308880).

2610338730480 is an abundant number, since it is smaller than the sum of its proper divisors (7337379887280).

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

2610338730480 is a wasteful number, since it uses less digits than its factorization.

2610338730480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584750 (or 584735 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2610338730480 in words is "two trillion, six hundred ten billion, three hundred thirty-eight million, seven hundred thirty thousand, four hundred eighty".