2081772540 has 288 divisors, whose sum is σ = 6835570560. Its totient is φ = 511795200.

The previous prime is 2081772521. The next prime is 2081772577. The reversal of 2081772540 is 452771802.

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 = 2081772495 and 2081772504.

It is a congruent number.

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, 15195352 + ... + 15195488.

It is an arithmetic number, because the mean of its divisors is an integer number (23734620).

Almost surely, 2^2081772540 is an apocalyptic number.

2081772540 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 2081772540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417785280).

2081772540 is an abundant number, since it is smaller than the sum of its proper divisors (4753798020).

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

2081772540 is a wasteful number, since it uses less digits than its factorization.

2081772540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2081772540 is about 45626.4456209335. The cubic root of 2081772540 is about 1276.8633607989.

The spelling of 2081772540 in words is "two billion, eighty-one million, seven hundred seventy-two thousand, five hundred forty".