2621261000 has 64 divisors (see below), whose sum is σ = 6188298480. Its totient is φ = 1039180800.

The previous prime is 2621260997. The next prime is 2621261023. The reversal of 2621261000 is 1621262.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 555922084 + 2065338916 = 23578^2 + 45446^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101402 + ... + 124598.

Almost surely, 2^2621261000 is an apocalyptic number.

2621261000 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 2621261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094149240).

2621261000 is an abundant number, since it is smaller than the sum of its proper divisors (3567037480).

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

2621261000 is a wasteful number, since it uses less digits than its factorization.

2621261000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23331 (or 23317 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2621261000 is about 51198.2519232835. The cubic root of 2621261000 is about 1378.8068171325.

Adding to 2621261000 its reverse (1621262), we get a palindrome (2622882262).

The spelling of 2621261000 in words is "two billion, six hundred twenty-one million, two hundred sixty-one thousand".