2426866933400 has 1152 divisors, whose sum is σ = 7761003264000. Its totient is φ = 699011389440.

The previous prime is 2426866933357. The next prime is 2426866933417. The reversal of 2426866933400 is 43396686242.

It is a super-2 number, since 2×2426866933400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30719834561 + ... + 30719834639.

It is an arithmetic number, because the mean of its divisors is an integer number (6736982000).

Almost surely, 2^{2426866933400} is an apocalyptic number.

2426866933400 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 2426866933400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880501632000).

2426866933400 is an abundant number, since it is smaller than the sum of its proper divisors (5334136330600).

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

2426866933400 is a wasteful number, since it uses less digits than its factorization.

2426866933400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 53.

The spelling of 2426866933400 in words is "two trillion, four hundred twenty-six billion, eight hundred sixty-six million, nine hundred thirty-three thousand, four hundred".