26222764962240 has 2240 divisors, whose sum is σ = 121220875607040. Its totient is φ = 5221012930560.

The previous prime is 26222764962239. The next prime is 26222764962241. The reversal of 26222764962240 is 4226946722262.

26222764962240 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 2 + 7 + 6 + 4 + 9 + 622 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26222764962239) and next prime (26222764962241).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-3 number, since 3×26222764962240³ (a number of 41 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26222764962241) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7929470667 + ... + 7929473973.

Almost surely, 2^{26222764962240} is an apocalyptic number.

26222764962240 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 26222764962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60610437803520).

26222764962240 is an abundant number, since it is smaller than the sum of its proper divisors (94998110644800).

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

26222764962240 is a wasteful number, since it uses less digits than its factorization.

26222764962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

It can be divided in two parts, 2622276 and 4962240, that added together give a square (7584516 = 2754²).

The spelling of 26222764962240 in words is "twenty-six trillion, two hundred twenty-two billion, seven hundred sixty-four million, nine hundred sixty-two thousand, two hundred forty".