2659464900 has 189 divisors, whose sum is σ = 8698138813. Its totient is φ = 705477600.

The previous prime is 2659464883. The next prime is 2659464901. The reversal of 2659464900 is 94649562.

The square root of 2659464900 is 51570.

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., 957407364 + 1702057536 = 30942^2 + 41256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2659464901) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 13923805 + ... + 13923995.

Almost surely, 2^2659464900 is an apocalyptic number.

2659464900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2659464900 is the 51570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2659464900

2659464900 is an abundant number, since it is smaller than the sum of its proper divisors (6038673913).

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

2659464900 is an equidigital number, since it uses as much as digits as its factorization.

2659464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The cubic root of 2659464900 is about 1385.4730666872.

The spelling of 2659464900 in words is "two billion, six hundred fifty-nine million, four hundred sixty-four thousand, nine hundred".