2054377440 has 144 divisors (see below), whose sum is σ = 7236867456. Its totient is φ = 530150400.

The previous prime is 2054377433. The next prime is 2054377469. The reversal of 2054377440 is 447734502.

2054377440 is a `hidden beast` number, since 2 + 0 + 543 + 7 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2054377395 and 2054377404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21630 + ... + 67650.

It is an arithmetic number, because the mean of its divisors is an integer number (50256024).

Almost surely, 2^2054377440 is an apocalyptic number.

2054377440 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 2054377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618433728).

2054377440 is an abundant number, since it is smaller than the sum of its proper divisors (5182490016).

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

2054377440 is a wasteful number, since it uses less digits than its factorization.

2054377440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46073 (or 46062 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2054377440 is about 45325.2406502161. The cubic root of 2054377440 is about 1271.2376469012.

The spelling of 2054377440 in words is "two billion, fifty-four million, three hundred seventy-seven thousand, four hundred forty".