2601519253440 has 448 divisors, whose sum is σ = 8856766623744. Its totient is φ = 644676452352.

The previous prime is 2601519253433. The next prime is 2601519253451. The reversal of 2601519253440 is 443529151062.

It is a junction number, because it is equal to n+sod(n) for n = 2601519253392 and 2601519253401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616910212 + ... + 616914428.

Almost surely, 2^{2601519253440} is an apocalyptic number.

2601519253440 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 2601519253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428383311872).

2601519253440 is an abundant number, since it is smaller than the sum of its proper divisors (6255247370304).

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

2601519253440 is a wasteful number, since it uses less digits than its factorization.

2601519253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 2601519253440 in words is "two trillion, six hundred one billion, five hundred nineteen million, two hundred fifty-three thousand, four hundred forty".