2054754240 has 756 divisors, whose sum is σ = 8803724328. Its totient is φ = 404490240.

The previous prime is 2054754227. The next prime is 2054754281. The reversal of 2054754240 is 424574502.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 108144951 + ... + 108144969.

It is an arithmetic number, because the mean of its divisors is an integer number (11645138).

Almost surely, 2^2054754240 is an apocalyptic number.

2054754240 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 2054754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401862164).

2054754240 is an abundant number, since it is smaller than the sum of its proper divisors (6748970088).

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

2054754240 is a wasteful number, since it uses less digits than its factorization.

2054754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

The square root of 2054754240 is about 45329.3970840116. The cubic root of 2054754240 is about 1271.3153627506.

The spelling of 2054754240 in words is "two billion, fifty-four million, seven hundred fifty-four thousand, two hundred forty".