2264640000 has 400 divisors, whose sum is σ = 8641583808. Its totient is φ = 516096000.

The previous prime is 2264639987. The next prime is 2264640013. The reversal of 2264640000 is 464622.

It is an interprime number because it is at equal distance from previous prime (2264639987) and next prime (2264640013).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6719832 + ... + 6720168.

Almost surely, 2^2264640000 is an apocalyptic number.

2264640000 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 2264640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320791904).

2264640000 is an abundant number, since it is smaller than the sum of its proper divisors (6376943808).

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

2264640000 is an frugal number, since it uses more digits than its factorization.

2264640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2264640000 is about 47588.2338398895. The cubic root of 2264640000 is about 1313.2066036483.

The spelling of 2264640000 in words is "two billion, two hundred sixty-four million, six hundred forty thousand".