2682011640 has 256 divisors, whose sum is σ = 10378368000. Its totient is φ = 538030080.

The previous prime is 2682011627. The next prime is 2682011641. The reversal of 2682011640 is 461102862.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2682011598 and 2682011607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682011641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262956 + ... + 272964.

It is an arithmetic number, because the mean of its divisors is an integer number (40540500).

Almost surely, 2^2682011640 is an apocalyptic number.

2682011640 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 2682011640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189184000).

2682011640 is an abundant number, since it is smaller than the sum of its proper divisors (7696356360).

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

2682011640 is a wasteful number, since it uses less digits than its factorization.

2682011640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10070 (or 10066 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2682011640 is about 51788.1418859569. The cubic root of 2682011640 is about 1389.3773654990.

The spelling of 2682011640 in words is "two billion, six hundred eighty-two million, eleven thousand, six hundred forty".