2561490140 has 72 divisors (see below), whose sum is σ = 5937560496. Its totient is φ = 927520000.

The previous prime is 2561490137. The next prime is 2561490203. The reversal of 2561490140 is 410941652.

It is a super-2 number, since 2×2561490140² = 13122463474634439200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2561490097 and 2561490106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605312 + ... + 609528.

It is an arithmetic number, because the mean of its divisors is an integer number (82466118).

Almost surely, 2^2561490140 is an apocalyptic number.

2561490140 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 2561490140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968780248).

2561490140 is an abundant number, since it is smaller than the sum of its proper divisors (3376070356).

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

2561490140 is a wasteful number, since it uses less digits than its factorization.

2561490140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2561490140 is about 50611.1661592578. The cubic root of 2561490140 is about 1368.2461333113.

The spelling of 2561490140 in words is "two billion, five hundred sixty-one million, four hundred ninety thousand, one hundred forty".