2761214940 has 192 divisors, whose sum is σ = 9429073920. Its totient is φ = 665268480.

The previous prime is 2761214899. The next prime is 2761214983. The reversal of 2761214940 is 494121672.

It is a happy number.

2761214940 is a `hidden beast` number, since 27 + 612 + 14 + 9 + 4 + 0 = 666.

2761214940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 2761214895 and 2761214904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1026277 + ... + 1028963.

It is an arithmetic number, because the mean of its divisors is an integer number (49109760).

Almost surely, 2^2761214940 is an apocalyptic number.

2761214940 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 2761214940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714536960).

2761214940 is an abundant number, since it is smaller than the sum of its proper divisors (6667858980).

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

2761214940 is a wasteful number, since it uses less digits than its factorization.

2761214940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2761214940 is about 52547.2638678742. The cubic root of 2761214940 is about 1402.9216096411.

The spelling of 2761214940 in words is "two billion, seven hundred sixty-one million, two hundred fourteen thousand, nine hundred forty".