2264641621040 has 80 divisors (see below), whose sum is σ = 5285351007552. Its totient is φ = 902406915072.

The previous prime is 2264641621037. The next prime is 2264641621043. The reversal of 2264641621040 is 401261464622.

It is an interprime number because it is at equal distance from previous prime (2264641621037) and next prime (2264641621043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2264641621040³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2264641620985 and 2264641621003.

It is not an unprimeable number, because it can be changed into a prime (2264641621043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202248722 + ... + 202259918.

Almost surely, 2^{2264641621040} is an apocalyptic number.

2264641621040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264641621040 is an abundant number, since it is smaller than the sum of its proper divisors (3020709386512).

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

2264641621040 is a wasteful number, since it uses less digits than its factorization.

2264641621040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20614 (or 20608 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 2264641621040 in words is "two trillion, two hundred sixty-four billion, six hundred forty-one million, six hundred twenty-one thousand, forty".