1054221840 has 480 divisors, whose sum is σ = 4340793600. Its totient is φ = 223948800.

The previous prime is 1054221811. The next prime is 1054221851. The reversal of 1054221840 is 481224501.

It is a super-2 number, since 2×1054221840² = 2222767375865971200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9671706 + ... + 9671814.

It is an arithmetic number, because the mean of its divisors is an integer number (9043320).

Almost surely, 2^1054221840 is an apocalyptic number.

1054221840 is a gapful number since it is divisible by the number (10) 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 1054221840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170396800).

1054221840 is an abundant number, since it is smaller than the sum of its proper divisors (3286571760).

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

1054221840 is a wasteful number, since it uses less digits than its factorization.

1054221840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1054221840 is about 32468.7825457007. The cubic root of 1054221840 is about 1017.7567772717.

The spelling of 1054221840 in words is "one billion, fifty-four million, two hundred twenty-one thousand, eight hundred forty".