2415164646400 has 297 divisors, whose sum is σ = 6587865174513. Its totient is φ = 877247078400.

The previous prime is 2415164646329. The next prime is 2415164646409. The reversal of 2415164646400 is 46464615142.

It is a happy number.

The square root of 2415164646400 is 1554080.

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., 869459272704 + 1545705373696 = 932448^2 + 1243264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2415164646409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2735180359 + ... + 2735181241.

Almost surely, 2^{2415164646400} is an apocalyptic number.

2415164646400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2415164646400 is the 1554080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2415164646400

2415164646400 is an abundant number, since it is smaller than the sum of its proper divisors (4172700528113).

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

2415164646400 is an frugal number, since it uses more digits than its factorization.

2415164646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 2415164646400 in words is "two trillion, four hundred fifteen billion, one hundred sixty-four million, six hundred forty-six thousand, four hundred".