2251867863420 has 1152 divisors, whose sum is σ = 8742485606400. Its totient is φ = 476171136000.

The previous prime is 2251867863409. The next prime is 2251867863433. The reversal of 2251867863420 is 243687681522.

2251867863420 is a `hidden beast` number, since 2 + 2 + 518 + 6 + 7 + 86 + 3 + 42 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22295721370 + ... + 22295721470.

It is an arithmetic number, because the mean of its divisors is an integer number (7588963200).

Almost surely, 2^{2251867863420} is an apocalyptic number.

2251867863420 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 2251867863420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371242803200).

2251867863420 is an abundant number, since it is smaller than the sum of its proper divisors (6490617742980).

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

2251867863420 is a wasteful number, since it uses less digits than its factorization.

2251867863420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2251867863420 in words is "two trillion, two hundred fifty-one billion, eight hundred sixty-seven million, eight hundred sixty-three thousand, four hundred twenty".