1540261000 has 64 divisors (see below), whose sum is σ = 3620897280. Its totient is φ = 613252800.

The previous prime is 1540260983. The next prime is 1540261001. The reversal of 1540261000 is 1620451.

It is not an unprimeable number, because it can be changed into a prime (1540261001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219547 + ... + 226453.

It is an arithmetic number, because the mean of its divisors is an integer number (56576520).

Almost surely, 2^1540261000 is an apocalyptic number.

1540261000 is a gapful number since it is divisible by the number (10) 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 1540261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810448640).

1540261000 is an abundant number, since it is smaller than the sum of its proper divisors (2080636280).

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

1540261000 is a wasteful number, since it uses less digits than its factorization.

1540261000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7151 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1540261000 is about 39246.1590477336. The cubic root of 1540261000 is about 1154.8655853274.

Adding to 1540261000 its reverse (1620451), we get a palindrome (1541881451).

The spelling of 1540261000 in words is "one billion, five hundred forty million, two hundred sixty-one thousand".