2265017627400 has 192 divisors, whose sum is σ = 7660729681920. Its totient is φ = 549034118400.

The previous prime is 2265017627359. The next prime is 2265017627441. The reversal of 2265017627400 is 47267105622.

It is an interprime number because it is at equal distance from previous prime (2265017627359) and next prime (2265017627441).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95707969 + ... + 95731631.

It is an arithmetic number, because the mean of its divisors is an integer number (39899633760).

Almost surely, 2^{2265017627400} is an apocalyptic number.

2265017627400 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 2265017627400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830364840960).

2265017627400 is an abundant number, since it is smaller than the sum of its proper divisors (5395712054520).

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

2265017627400 is a wasteful number, since it uses less digits than its factorization.

2265017627400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38196 (or 38187 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 2265017627400 in words is "two trillion, two hundred sixty-five billion, seventeen million, six hundred twenty-seven thousand, four hundred".