2633253056544 has 384 divisors, whose sum is σ = 8149158420480. Its totient is φ = 736101273600.

The previous prime is 2633253056531. The next prime is 2633253056561. The reversal of 2633253056544 is 4456503523362.

It is a super-2 number, since 2×2633253056544² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2633253056493 and 2633253056502.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 867055794 + ... + 867058830.

It is an arithmetic number, because the mean of its divisors is an integer number (21221766720).

Almost surely, 2^{2633253056544} is an apocalyptic number.

2633253056544 is a gapful number since it is divisible by the number (24) 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 2633253056544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074579210240).

2633253056544 is an abundant number, since it is smaller than the sum of its proper divisors (5515905363936).

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

2633253056544 is a wasteful number, since it uses less digits than its factorization.

2633253056544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 48.

The spelling of 2633253056544 in words is "two trillion, six hundred thirty-three billion, two hundred fifty-three million, fifty-six thousand, five hundred forty-four".