2054261139840 has 3840 divisors, whose sum is σ = 10017280627200. Its totient is φ = 391283343360.

The previous prime is 2054261139817. The next prime is 2054261139893. The reversal of 2054261139840 is 489311624502.

2054261139840 is a `hidden beast` number, since 2 + 0 + 542 + 6 + 1 + 13 + 98 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 47773514859 + ... + 47773514901.

It is an arithmetic number, because the mean of its divisors is an integer number (2608666830).

Almost surely, 2^{2054261139840} is an apocalyptic number.

2054261139840 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 2054261139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008640313600).

2054261139840 is an abundant number, since it is smaller than the sum of its proper divisors (7963019487360).

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

2054261139840 is a wasteful number, since it uses less digits than its factorization.

2054261139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2054261139840 in words is "two trillion, fifty-four billion, two hundred sixty-one million, one hundred thirty-nine thousand, eight hundred forty".