2649960736900 has 27 divisors (see below), whose sum is σ = 5750450124069. Its totient is φ = 1059977783280.

The previous prime is 2649960736897. The next prime is 2649960736901. The reversal of 2649960736900 is 96370699462.

The square root of 2649960736900 is 1627870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 953985865284 + 1695974871616 = 976722^2 + 1302296^2 .

It is a super-2 number, since 2×2649960736900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2649960736901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16197307 + ... + 16360093.

Almost surely, 2^{2649960736900} is an apocalyptic number.

2649960736900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2649960736900 is the 1627870-th square number.

It is an amenable number.

2649960736900 is an abundant number, since it is smaller than the sum of its proper divisors (3100489387169).

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

2649960736900 is an frugal number, since it uses more digits than its factorization.

2649960736900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325588 (or 162794 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 61.

The spelling of 2649960736900 in words is "two trillion, six hundred forty-nine billion, nine hundred sixty million, seven hundred thirty-six thousand, nine hundred".