2250101279440 has 240 divisors, whose sum is σ = 6230475224064. Its totient is φ = 739534694400.

The previous prime is 2250101279423. The next prime is 2250101279473. The reversal of 2250101279440 is 449721010522.

It is a self number, because there is not a number n which added to its sum of digits gives 2250101279440.

It is a congruent number.

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, 198748980 + ... + 198760300.

Almost surely, 2^{2250101279440} is an apocalyptic number.

2250101279440 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 2250101279440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115237612032).

2250101279440 is an abundant number, since it is smaller than the sum of its proper divisors (3980373944624).

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

2250101279440 is a wasteful number, since it uses less digits than its factorization.

2250101279440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11586 (or 11473 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

Adding to 2250101279440 its reverse (449721010522), we get a palindrome (2699822289962).

The spelling of 2250101279440 in words is "two trillion, two hundred fifty billion, one hundred one million, two hundred seventy-nine thousand, four hundred forty".