2253346322040 has 384 divisors, whose sum is σ = 8140906537920. Its totient is φ = 535934361600.

The previous prime is 2253346322027. The next prime is 2253346322053. The reversal of 2253346322040 is 402236433522.

2253346322040 is a `hidden beast` number, since 2 + 2 + 5 + 334 + 63 + 220 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2253346322027) and next prime (2253346322053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2253346321986 and 2253346322004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95887572 + ... + 95911068.

Almost surely, 2^{2253346322040} is an apocalyptic number.

2253346322040 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 2253346322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070453268960).

2253346322040 is an abundant number, since it is smaller than the sum of its proper divisors (5887560215880).

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

2253346322040 is a wasteful number, since it uses less digits than its factorization.

2253346322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23983 (or 23976 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 2253346322040 in words is "two trillion, two hundred fifty-three billion, three hundred forty-six million, three hundred twenty-two thousand, forty".